1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
|
Network Working Group W. Simpson
Request for Comments: 1331 Daydreamer
Obsoletes: RFCs 1171, 1172 May 1992
The Point-to-Point Protocol (PPP)
for the
Transmission of Multi-protocol Datagrams
over Point-to-Point Links
Status of this Memo
This RFC specifies an IAB standards track protocol for the Internet
community, and requests discussion and suggestions for improvements.
Please refer to the current edition of the "IAB Official Protocol
Standards" for the standardization state and status of this protocol.
Distribution of this memo is unlimited.
Abstract
The Point-to-Point Protocol (PPP) provides a method for transmitting
datagrams over serial point-to-point links. PPP is comprised of
three main components:
1. A method for encapsulating datagrams over serial links.
2. A Link Control Protocol (LCP) for establishing, configuring,
and testing the data-link connection.
3. A family of Network Control Protocols (NCPs) for establishing
and configuring different network-layer protocols.
This document defines the PPP encapsulation scheme, together with the
PPP Link Control Protocol (LCP), an extensible option negotiation
protocol which is able to negotiate a rich assortment of
configuration parameters and provides additional management
functions.
This RFC is a product of the Point-to-Point Protocol Working Group of
the Internet Engineering Task Force (IETF). Comments on this memo
should be submitted to the ietf-ppp@ucdavis.edu mailing list.
Simpson [Page i]
^L
RFC 1331 Point-to-Point Protocol May 1992
Table of Contents
1. Introduction .......................................... 1
1.1 Specification of Requirements ................... 3
1.2 Terminology ..................................... 3
2. Physical Layer Requirements ........................... 4
3. The Data Link Layer ................................... 5
3.1 Frame Format .................................... 6
4. PPP Link Operation .................................... 10
4.1 Overview ........................................ 10
4.2 Phase Diagram ................................... 10
4.3 Link Dead (physical-layer not ready) ............ 10
4.4 Link Establishment Phase ........................ 11
4.5 Authentication Phase ............................ 11
4.6 Network-Layer Protocol Phase .................... 12
4.7 Link Termination Phase .......................... 12
5. The Option Negotiation Automaton ...................... 14
5.1 State Diagram ................................... 15
5.2 State Transition Table .......................... 16
5.3 States .......................................... 18
5.4 Events .......................................... 20
5.5 Actions ......................................... 24
5.6 Loop Avoidance .................................. 26
5.7 Counters and Timers ............................. 27
6. LCP Packet Formats .................................... 28
6.1 Configure-Request ............................... 30
6.2 Configure-Ack ................................... 31
6.3 Configure-Nak ................................... 32
6.4 Configure-Reject ................................ 33
6.5 Terminate-Request and Terminate-Ack ............. 35
6.6 Code-Reject ..................................... 36
6.7 Protocol-Reject ................................. 38
6.8 Echo-Request and Echo-Reply ..................... 39
6.9 Discard-Request ................................. 40
7. LCP Configuration Options ............................. 42
7.1 Format .......................................... 43
7.2 Maximum-Receive-Unit ............................ 44
7.3 Async-Control-Character-Map ..................... 45
7.4 Authentication-Protocol ......................... 47
7.5 Quality-Protocol ................................ 49
7.6 Magic-Number .................................... 51
Simpson [Page ii]
^L
RFC 1331 Point-to-Point Protocol May 1992
7.7 Protocol-Field-Compression ...................... 54
7.8 Address-and-Control-Field-Compression ........... 56
APPENDICES ................................................... 58
A. Asynchronous HDLC ..................................... 58
B. Fast Frame Check Sequence (FCS) Implementation ........ 61
B.1 FCS Computation Method .......................... 61
B.2 Fast FCS table generator ........................ 63
C. LCP Recommended Options ............................... 64
SECURITY CONSIDERATIONS ...................................... 65
REFERENCES ................................................... 65
ACKNOWLEDGEMENTS ............................................. 66
CHAIR'S ADDRESS .............................................. 66
AUTHOR'S ADDRESS ............................................. 66
Simpson [Page iii]
^L
RFC 1331 Point-to-Point Protocol May 1992
1. Introduction
Motivation
In the last few years, the Internet has seen explosive growth in
the number of hosts supporting TCP/IP. The vast majority of these
hosts are connected to Local Area Networks (LANs) of various
types, Ethernet being the most common. Most of the other hosts
are connected through Wide Area Networks (WANs) such as X.25 style
Public Data Networks (PDNs). Relatively few of these hosts are
connected with simple point-to-point (i.e., serial) links. Yet,
point-to-point links are among the oldest methods of data
communications and almost every host supports point-to-point
connections. For example, asynchronous RS-232-C [1] interfaces
are essentially ubiquitous.
Encapsulation
One reason for the small number of point-to-point IP links is the
lack of a standard encapsulation protocol. There are plenty of
non-standard (and at least one de facto standard) encapsulation
protocols available, but there is not one which has been agreed
upon as an Internet Standard. By contrast, standard encapsulation
schemes do exist for the transmission of datagrams over most
popular LANs.
PPP provides an encapsulation protocol over both bit-oriented
synchronous links and asynchronous links with 8 bits of data and
no parity. These links MUST be full-duplex, but MAY be either
dedicated or circuit-switched. PPP uses HDLC as a basis for the
encapsulation.
PPP has been carefully designed to retain compatibility with most
commonly used supporting hardware. In addition, an escape
mechanism is specified to allow control data such as XON/XOFF to
be transmitted transparently over the link, and to remove spurious
control data which may be injected into the link by intervening
hardware and software.
The PPP encapsulation also provides for multiplexing of different
network-layer protocols simultaneously over the same link. It is
intended that PPP provide a common solution for easy connection of
a wide variety of hosts, bridges and routers.
Some protocols expect error free transmission, and either provide
error detection only on a conditional basis, or do not provide it
at all. PPP uses the HDLC Frame Check Sequence for error
detection. This is commonly available in hardware
Simpson [Page 1]
^L
RFC 1331 Point-to-Point Protocol May 1992
implementations, and a software implementation is provided.
By default, only 8 additional octets are necessary to form the
encapsulation. In environments where bandwidth is at a premium,
the encapsulation may be shortened to as few as 2 octets. To
support high speed hardware implementations, PPP provides that the
default encapsulation header and information fields fall on 32-bit
boundaries, and allows the trailer to be padded to an arbitrary
boundary.
Link Control Protocol
More importantly, the Point-to-Point Protocol defines more than
just an encapsulation scheme. In order to be sufficiently
versatile to be portable to a wide variety of environments, PPP
provides a Link Control Protocol (LCP). The LCP is used to
automatically agree upon the encapsulation format options, handle
varying limits on sizes of packets, authenticate the identity of
its peer on the link, determine when a link is functioning
properly and when it is defunct, detect a looped-back link and
other common misconfiguration errors, and terminate the link.
Network Control Protocols
Point-to-Point links tend to exacerbate many problems with the
current family of network protocols. For instance, assignment and
management of IP addresses, which is a problem even in LAN
environments, is especially difficult over circuit-switched
point-to-point links (such as dial-up modem servers). These
problems are handled by a family of Network Control Protocols
(NCPs), which each manage the specific needs required by their
respective network-layer protocols. These NCPs are defined in
other documents.
Configuration
It is intended that PPP be easy to configure. By design, the
standard defaults should handle all common configurations. The
implementor may specify improvements to the default configuration,
which are automatically communicated to the peer without operator
intervention. Finally, the operator may explicitly configure
options for the link which enable the link to operate in
environments where it would otherwise be impossible.
This self-configuration is implemented through an extensible
option negotiation mechanism, wherein each end of the link
describes to the other its capabilities and requirements.
Although the option negotiation mechanism described in this
Simpson [Page 2]
^L
RFC 1331 Point-to-Point Protocol May 1992
document is specified in terms of the Link Control Protocol (LCP),
the same facilities may be used by the Internet Protocol Control
Protocol (IPCP) and others in the family of NCPs.
1.1. Specification of Requirements
In this document, several words are used to signify the requirements
of the specification. These words are often capitalized.
MUST
This word, or the adjective "required", means that the definition
is an absolute requirement of the specification.
MUST NOT
This phrase means that the definition is an absolute prohibition
of the specification.
SHOULD
This word, or the adjective "recommended", means that there may
exist valid reasons in particular circumstances to ignore this
item, but the full implications should be understood and carefully
weighed before choosing a different course.
MAY
This word, or the adjective "optional", means that this item is
one of an allowed set of alternatives. An implementation which
does not include this option MUST be prepared to interoperate with
another implementation which does include the option.
1.2. Terminology
This document frequently uses the following terms:
peer
The other end of the point-to-point link.
silently discard
This means the implementation discards the packet without further
processing. The implementation SHOULD provide the capability of
logging the error, including the contents of the silently
discarded packet, and SHOULD record the event in a statistics
counter.
Simpson [Page 3]
^L
RFC 1331 Point-to-Point Protocol May 1992
2. Physical Layer Requirements
The Point-to-Point Protocol is capable of operating across any
DTE/DCE interface (e.g., EIA RS-232-C, EIA RS-422, EIA RS-423 and
CCITT V.35). The only absolute requirement imposed by PPP is the
provision of a full-duplex circuit, either dedicated or circuit-
switched, which can operate in either an asynchronous (start/stop) or
synchronous bit-serial mode, transparent to PPP Data Link Layer
frames. PPP does not impose any restrictions regarding transmission
rate, other than those imposed by the particular DTE/DCE interface in
use.
PPP does not require any particular synchronous encoding, such as FM,
NRZ, or NRZI.
Implementation Note:
NRZ is currently most widely available, and on that basis is
recommended as a default. When configuration of the encoding is
allowed, NRZI is recommended as an alternative, because of its
relative immunity to signal inversion configuration errors.
PPP does not require the use of modem control signals, such as
Request To Send (RTS), Clear To Send (CTS), Data Carrier Detect
(DCD), and Data Terminal Ready (DTR).
Implementation Note:
When available, using such signals can allow greater functionality
and performance. In particular, such signals SHOULD be used to
signal the Up and Down events in the Option Negotiation Automaton
(described below).
Simpson [Page 4]
^L
RFC 1331 Point-to-Point Protocol May 1992
3. The Data Link Layer
The Point-to-Point Protocol uses the principles, terminology, and
frame structure of the International Organization For
Standardization's (ISO) High-level Data Link Control (HDLC)
procedures (ISO 3309-1979 [2]), as modified by ISO 3309:1984/PDAD1
"Addendum 1: Start/stop transmission" [5]. ISO 3309-1979 specifies
the HDLC frame structure for use in synchronous environments. ISO
3309:1984/PDAD1 specifies proposed modifications to ISO 3309-1979 to
allow its use in asynchronous environments.
The PPP control procedures use the definitions and Control field
encodings standardized in ISO 4335-1979 [3] and ISO 4335-
1979/Addendum 1-1979 [4]. The PPP frame structure is also consistent
with CCITT Recommendation X.25 LAPB [6], since that too is based on
HDLC.
The purpose of this memo is not to document what is already
standardized in ISO 3309. We assume that the reader is already
familiar with HDLC, or has access to a copy of [2] or [6]. Instead,
this paper attempts to give a concise summary and point out specific
options and features used by PPP. Since "Addendum 1: Start/stop
transmission", is not yet standardized and widely available, it is
summarized in Appendix A.
To remain consistent with standard Internet practice, and avoid
confusion for people used to reading RFCs, all binary numbers in the
following descriptions are in Most Significant Bit to Least
Significant Bit order, reading from left to right, unless otherwise
indicated. Note that this is contrary to standard ISO and CCITT
practice which orders bits as transmitted (i.e., network bit order).
Keep this in mind when comparing this document with the international
standards documents.
Simpson [Page 5]
^L
RFC 1331 Point-to-Point Protocol May 1992
3.1. Frame Format
A summary of the standard PPP frame structure is shown below. This
figure does not include start/stop bits (for asynchronous links), nor
any bits or octets inserted for transparency. The fields are
transmitted from left to right.
+----------+----------+----------+----------+------------
| Flag | Address | Control | Protocol | Information
| 01111110 | 11111111 | 00000011 | 16 bits | *
+----------+----------+----------+----------+------------
---+----------+----------+-----------------
| FCS | Flag | Inter-frame Fill
| 16 bits | 01111110 | or next Address
---+----------+----------+-----------------
Inter-frame Time Fill
For asynchronous links, inter-frame time fill SHOULD be accomplished
in the same manner as inter-octet time fill, by transmitting
continuous "1" bits (mark-hold state).
For synchronous links, the Flag Sequence SHOULD be transmitted during
inter-frame time fill. There is no provision for inter-octet time
fill.
Implementation Note:
Mark idle (continuous ones) SHOULD NOT be used for idle
synchronous inter-frame time fill. However, certain types of
circuit-switched links require the use of mark idle, particularly
those that calculate accounting based on bit activity. When mark
idle is used on a synchronous link, the implementation MUST ensure
at least 15 consecutive "1" bits between Flags, and that the Flag
Sequence is generated at the beginning and end of a frame.
Flag Sequence
The Flag Sequence is a single octet and indicates the beginning or
end of a frame. The Flag Sequence consists of the binary sequence
01111110 (hexadecimal 0x7e).
The Flag is a frame separator. Only one Flag is required between two
frames. Two consecutive Flags constitute an empty frame, which is
ignored.
Simpson [Page 6]
^L
RFC 1331 Point-to-Point Protocol May 1992
Implementation Note:
The "shared zero mode" Flag Sequence "011111101111110" SHOULD NOT
be used. When not avoidable, such an implementation MUST ensure
that the first Flag Sequence detected (the end of the frame) is
promptly communicated to the link layer.
Address Field
The Address field is a single octet and contains the binary sequence
11111111 (hexadecimal 0xff), the All-Stations address. PPP does not
assign individual station addresses. The All-Stations address MUST
always be recognized and received. The use of other address lengths
and values may be defined at a later time, or by prior agreement.
Frames with unrecognized Addresses SHOULD be silently discarded, and
reported through the normal network management facility.
Control Field
The Control field is a single octet and contains the binary sequence
00000011 (hexadecimal 0x03), the Unnumbered Information (UI) command
with the P/F bit set to zero. Frames with other Control field values
SHOULD be silently discarded.
Protocol Field
The Protocol field is two octets and its value identifies the
protocol encapsulated in the Information field of the frame.
This Protocol field is defined by PPP and is not a field defined by
HDLC. However, the Protocol field is consistent with the ISO 3309
extension mechanism for Address fields. All Protocols MUST be odd;
the least significant bit of the least significant octet MUST equal
"1". Also, all Protocols MUST be assigned such that the least
significant bit of the most significant octet equals "0". Frames
received which don't comply with these rules MUST be considered as
having an unrecognized Protocol, and handled as specified by the LCP.
The Protocol field is transmitted and received most significant octet
first.
Protocol field values in the "0---" to "3---" range identify the
network-layer protocol of specific datagrams, and values in the "8--
-" to "b---" range identify datagrams belonging to the associated
Network Control Protocols (NCPs), if any.
Protocol field values in the "4---" to "7---" range are used for
protocols with low volume traffic which have no associated NCP.
Protocol field values in the "c---" to "f---" range identify
Simpson [Page 7]
^L
RFC 1331 Point-to-Point Protocol May 1992
datagrams as link-layer Control Protocols (such as LCP).
The most up-to-date values of the Protocol field are specified in the
most recent "Assigned Numbers" RFC [11]. Current values are assigned
as follows:
Value (in hex) Protocol Name
0001 to 001f reserved (transparency inefficient)
0021 Internet Protocol
0023 OSI Network Layer
0025 Xerox NS IDP
0027 DECnet Phase IV
0029 Appletalk
002b Novell IPX
002d Van Jacobson Compressed TCP/IP
002f Van Jacobson Uncompressed TCP/IP
0031 Bridging PDU
0033 Stream Protocol (ST-II)
0035 Banyan Vines
0037 reserved (until 1993)
00ff reserved (compression inefficient)
0201 802.1d Hello Packets
0231 Luxcom
0233 Sigma Network Systems
8021 Internet Protocol Control Protocol
8023 OSI Network Layer Control Protocol
8025 Xerox NS IDP Control Protocol
8027 DECnet Phase IV Control Protocol
8029 Appletalk Control Protocol
802b Novell IPX Control Protocol
802d Reserved
802f Reserved
8031 Bridging NCP
8033 Stream Protocol Control Protocol
8035 Banyan Vines Control Protocol
c021 Link Control Protocol
c023 Password Authentication Protocol
c025 Link Quality Report
c223 Challenge Handshake Authentication Protocol
Developers of new protocols MUST obtain a number from the Internet
Assigned Numbers Authority (IANA), at IANA@isi.edu.
Simpson [Page 8]
^L
RFC 1331 Point-to-Point Protocol May 1992
Information Field
The Information field is zero or more octets. The Information field
contains the datagram for the protocol specified in the Protocol
field. The end of the Information field is found by locating the
closing Flag Sequence and allowing two octets for the Frame Check
Sequence field. The default maximum length of the Information field
is 1500 octets. By negotiation, consenting PPP implementations may
use other values for the maximum Information field length.
On transmission, the Information field may be padded with an
arbitrary number of octets up to the maximum length. It is the
responsibility of each protocol to disambiguate padding octets from
real information.
Frame Check Sequence (FCS) Field
The Frame Check Sequence field is normally 16 bits (two octets). The
use of other FCS lengths may be defined at a later time, or by prior
agreement.
The FCS field is calculated over all bits of the Address, Control,
Protocol and Information fields not including any start and stop bits
(asynchronous) and any bits (synchronous) or octets (asynchronous)
inserted for transparency. This does not include the Flag Sequences
or the FCS field itself. The FCS is transmitted with the coefficient
of the highest term first.
Note: When octets are received which are flagged in the Async-
Control-Character-Map, they are discarded before calculating the
FCS. See the description in Appendix A.
For more information on the specification of the FCS, see ISO 3309
[2] or CCITT X.25 [6].
Note: A fast, table-driven implementation of the 16-bit FCS
algorithm is shown in Appendix B. This implementation is based on
[7], [8], and [9].
Modifications to the Basic Frame Format
The Link Control Protocol can negotiate modifications to the standard
PPP frame structure. However, modified frames will always be clearly
distinguishable from standard frames.
Simpson [Page 9]
^L
RFC 1331 Point-to-Point Protocol May 1992
4. PPP Link Operation
4.1. Overview
In order to establish communications over a point-to-point link, each
end of the PPP link must first send LCP packets to configure and test
the data link. After the link has been established, the peer may be
authenticated. Then, PPP must send NCP packets to choose and
configure one or more network-layer protocols. Once each of the
chosen network-layer protocols has been configured, datagrams from
each network-layer protocol can be sent over the link.
The link will remain configured for communications until explicit LCP
or NCP packets close the link down, or until some external event
occurs (an inactivity timer expires or network administrator
intervention).
4.2. Phase Diagram
In the process of configuring, maintaining and terminating the
point-to-point link, the PPP link goes through several distinct
phases:
+------+ +-----------+ +--------------+
| | UP | | OPENED | | SUCCESS/NONE
| Dead |------->| Establish |---------->| Authenticate |--+
| | | | | | |
+------+ +-----------+ +--------------+ |
^ FAIL | FAIL | |
+<--------------+ +----------+ |
| | |
| +-----------+ | +---------+ |
| DOWN | | | CLOSING | | |
+------------| Terminate |<---+<----------| Network |<-+
| | | |
+-----------+ +---------+
4.3. Link Dead (physical-layer not ready)
The link necessarily begins and ends with this phase. When an
external event (such as carrier detection or network administrator
configuration) indicates that the physical-layer is ready to be used,
PPP will proceed to the Link Establishment phase.
During this phase, the LCP automaton (described below) will be in the
Initial or Starting states. The transition to the Link Establishment
phase will signal an Up event to the automaton.
Simpson [Page 10]
^L
RFC 1331 Point-to-Point Protocol May 1992
Implementation Note:
Typically, a link will return to this phase automatically after
the disconnection of a modem. In the case of a hard-wired line,
this phase may be extremely short -- merely long enough to detect
the presence of the device.
4.4. Link Establishment Phase
The Link Control Protocol (LCP) is used to establish the connection
through an exchange of Configure packets. This exchange is complete,
and the LCP Opened state entered, once a Configure-Ack packet
(described below) has been both sent and received. Any non-LCP
packets received during this phase MUST be silently discarded.
All Configuration Options are assumed to be at default values unless
altered by the configuration exchange. See the section on LCP
Configuration Options for further discussion.
It is important to note that only Configuration Options which are
independent of particular network-layer protocols are configured by
LCP. Configuration of individual network-layer protocols is handled
by separate Network Control Protocols (NCPs) during the Network-Layer
Protocol phase.
4.5. Authentication Phase
On some links it may be desirable to require a peer to authenticate
itself before allowing network-layer protocol packets to be
exchanged.
By default, authentication is not necessary. If an implementation
requires that the peer authenticate with some specific authentication
protocol, then it MUST negotiate the use of that authentication
protocol during Link Establishment phase.
Authentication SHOULD take place as soon as possible after link
establishment. However, link quality determination MAY occur
concurrently. An implementation MUST NOT allow the exchange of link
quality determination packets to delay authentication indefinitely.
Advancement from the Authentication phase to the Network-Layer
Protocol phase MUST NOT occur until the peer is successfully
authenticated using the negotiated authentication protocol. In the
event of failure to authenticate, PPP SHOULD proceed instead to the
Link Termination phase.
Simpson [Page 11]
^L
RFC 1331 Point-to-Point Protocol May 1992
4.6. Network-Layer Protocol Phase
Once PPP has finished the previous phases, each network-layer
protocol (such as IP) MUST be separately configured by the
appropriate Network Control Protocol (NCP).
Each NCP may be Opened and Closed at any time.
Implementation Note:
Because an implementation may initially use a significant amount
of time for link quality determination, implementations SHOULD
avoid fixed timeouts when waiting for their peers to configure a
NCP.
After a NCP has reached the Opened state, PPP will carry the
corresponding network-layer protocol packets. Any network-layer
protocol packets received when the corresponding NCP is not in the
Opened state SHOULD be silently discarded.
During this phase, link traffic consists of any possible combinations
of LCP, NCP, and network-layer protocol packets. Any NCP or
network-layer protocol packets received during any other phase SHOULD
be silently discarded.
Implementation Note:
There is an exception to the preceding paragraphs, due to the
availability of the LCP Protocol-Reject (described below). While
LCP is in the Opened state, any protocol packet which is
unsupported by the implementation MUST be returned in a Protocol-
Reject. Only supported protocols are silently discarded.
4.7. Link Termination Phase
PPP may terminate the link at any time. This will usually be done at
the request of a human user, but might happen because of a physical
event such as the loss of carrier, authentication failure, link
quality failure, or the expiration of an idle-period timer.
LCP is used to close the link through an exchange of Terminate
packets. When the link is closing, PPP informs the network-layer
protocols so that they may take appropriate action.
After the exchange of Terminate packets, the implementation SHOULD
signal the physical-layer to disconnect in order to enforce the
termination of the link, particularly in the case of an
authentication failure. The sender of the Terminate-Request SHOULD
Simpson [Page 12]
^L
RFC 1331 Point-to-Point Protocol May 1992
disconnect after receiving a Terminate-Ack, or after the Restart
counter expires. The receiver of a Terminate-Request SHOULD wait for
the peer to disconnect, and MUST NOT disconnect until at least one
Restart time has passed after sending a Terminate-Ack. PPP SHOULD
proceed to the Link Dead phase.
Implementation Note:
The closing of the link by LCP is sufficient. There is no need
for each NCP to send a flurry of Terminate packets. Conversely,
the fact that a NCP has Closed is not sufficient reason to cause
the termination of the PPP link, even if that NCP was the only
currently NCP in the Opened state.
Simpson [Page 13]
^L
RFC 1331 Point-to-Point Protocol May 1992
5. The Option Negotiation Automaton
The finite-state automaton is defined by events, actions and state
transitions. Events include reception of external commands such as
Open and Close, expiration of the Restart timer, and reception of
packets from a peer. Actions include the starting of the Restart
timer and transmission of packets to the peer.
Some types of packets -- Configure-Naks and Configure-Rejects, or
Code-Rejects and Protocol-Rejects, or Echo-Requests, Echo-Replies and
Discard-Requests -- are not differentiated in the automaton
descriptions. As will be described later, these packets do indeed
serve different functions. However, they always cause the same
transitions.
Events Actions
Up = lower layer is Up tlu = This-Layer-Up
Down = lower layer is Down tld = This-Layer-Down
Open = administrative Open tls = This-Layer-Start
Close= administrative Close tlf = This-Layer-Finished
TO+ = Timeout with counter > 0 irc = initialize restart
counter
TO- = Timeout with counter expired zrc = zero restart counter
RCR+ = Receive-Configure-Request (Good) scr = Send-Configure-Request
RCR- = Receive-Configure-Request (Bad)
RCA = Receive-Configure-Ack sca = Send-Configure-Ack
RCN = Receive-Configure-Nak/Rej scn = Send-Configure-Nak/Rej
RTR = Receive-Terminate-Request str = Send-Terminate-Request
RTA = Receive-Terminate-Ack sta = Send-Terminate-Ack
RUC = Receive-Unknown-Code scj = Send-Code-Reject
RXJ+ = Receive-Code-Reject (permitted)
or Receive-Protocol-Reject
RXJ- = Receive-Code-Reject (catastrophic)
or Receive-Protocol-Reject
RXR = Receive-Echo-Request ser = Send-Echo-Reply
or Receive-Echo-Reply
or Receive-Discard-Request
- = illegal action
Simpson [Page 14]
^L
RFC 1331 Point-to-Point Protocol May 1992
5.1. State Diagram
The simplified state diagram which follows describes the sequence of
events for reaching agreement on Configuration Options (opening the
PPP link) and for later termination of the link.
This diagram is not a complete representation of the automaton.
Implementation MUST be done by consulting the actual state
transition table.
Events are in upper case. Actions are in lower case. For these
purposes, the state machine is initially in the Closed state. Once
the Opened state has been reached, both ends of the link have met the
requirement of having both sent and received a Configure-Ack packet.
RCR TO+
+--sta-->+ +------->+
| | | |
+-------+ | RTA +-------+ | Close +-------+
| |<-----+<------| |<-str-+<------| |
|Closed | |Closing| |Opened |
| | Open | | | |
| |------+ | | | |
+-------+ | +-------+ +-------+
| ^
| |
| +-sca----------------->+
| | ^
RCN,TO+ V RCR+ | RCR- RCA | RCN,TO+
+------->+ | +------->+ | +--scr-->+
| | | | | | | |
+-------+ | TO+ +-------+ | +-------+ |
| |<-scr-+<------| |<-scn-+ | |<-----+
| Req- | | Ack- | | Ack- |
| Sent | RCA | Rcvd | | Sent |
+-scn->| |------------->| | +-sca->| |
| +-------+ +-------+ | +-------+
| RCR- | | RCR+ | RCR+ | | RCR-
| | +------------------------------->+<-------+ |
| | |
+<-------+<------------------------------------------------+
Simpson [Page 15]
^L
RFC 1331 Point-to-Point Protocol May 1992
5.2. State Transition Table
The complete state transition table follows. States are indicated
horizontally, and events are read vertically. State transitions and
actions are represented in the form action/new-state. Multiple
actions are separated by commas, and may continue on succeeding lines
as space requires. The state may be followed by a letter, which
indicates an explanatory footnote.
Rationale:
In previous versions of this table, a simplified non-deterministic
finite-state automaton was used, with considerable detailed
information specified in the semantics. This lead to
interoperability problems from differing interpretations.
This table functions similarly to the previous versions, with the
up/down flags expanded to explicit states, and the active/passive
paradigm eliminated. It is believed that this table interoperates
with previous versions better than those versions themselves.
| State
| 0 1 2 3 4 5
Events| Initial Starting Closed Stopped Closing Stopping
------+-----------------------------------------------------------
Up | 2 irc,scr/6 - - - -
Down | - - 0 tls/1 0 1
Open | tls/1 1 irc,scr/6 3r 5r 5r
Close| 0 0 2 2 4 4
|
TO+ | - - - - str/4 str/5
TO- | - - - - tlf/2 tlf/3
|
RCR+ | - - sta/2 irc,scr,sca/8 4 5
RCR- | - - sta/2 irc,scr,scn/6 4 5
RCA | - - sta/2 sta/3 4 5
RCN | - - sta/2 sta/3 4 5
|
RTR | - - sta/2 sta/3 sta/4 sta/5
RTA | - - 2 3 tlf/2 tlf/3
|
RUC | - - scj/2 scj/3 scj/4 scj/5
RXJ+ | - - 2 3 4 5
RXJ- | - - tlf/2 tlf/3 tlf/2 tlf/3
|
RXR | - - 2 3 4 5
Simpson [Page 16]
^L
RFC 1331 Point-to-Point Protocol May 1992
| State
| 6 7 8 9
Events| Req-Sent Ack-Rcvd Ack-Sent Opened
------+-----------------------------------------
Up | - - - -
Down | 1 1 1 tld/1
Open | 6 7 8 9r
Close|irc,str/4 irc,str/4 irc,str/4 tld,irc,str/4
|
TO+ | scr/6 scr/6 scr/8 -
TO- | tlf/3p tlf/3p tlf/3p -
|
RCR+ | sca/8 sca,tlu/9 sca/8 tld,scr,sca/8
RCR- | scn/6 scn/7 scn/6 tld,scr,scn/6
RCA | irc/7 scr/6x irc,tlu/9 tld,scr/6x
RCN |irc,scr/6 scr/6x irc,scr/8 tld,scr/6x
|
RTR | sta/6 sta/6 sta/6 tld,zrc,sta/5
RTA | 6 6 8 tld,scr/6
|
RUC | scj/6 scj/7 scj/8 tld,scj,scr/6
RXJ+ | 6 6 8 9
RXJ- | tlf/3 tlf/3 tlf/3 tld,irc,str/5
|
RXR | 6 7 8 ser/9
The states in which the Restart timer is running are identifiable by
the presence of TO events. Only the Send-Configure-Request, Send-
Terminate-Request and Zero-Restart-Counter actions start or re-start
the Restart timer. The Restart timer SHOULD be stopped when
transitioning from any state where the timer is running to a state
where the timer is not running.
[p] Passive option; see Stopped state discussion.
[r] Restart option; see Open event discussion.
[x] Crossed connection; see RCA event discussion.
Simpson [Page 17]
^L
RFC 1331 Point-to-Point Protocol May 1992
5.3. States
Following is a more detailed description of each automaton state.
Initial
In the Initial state, the lower layer is unavailable (Down), and
no Open has occurred. The Restart timer is not running in the
Initial state.
Starting
The Starting state is the Open counterpart to the Initial state.
An administrative Open has been initiated, but the lower layer is
still unavailable (Down). The Restart timer is not running in the
Starting state.
When the lower layer becomes available (Up), a Configure-Request
is sent.
Closed
In the Closed state, the link is available (Up), but no Open has
occurred. The Restart timer is not running in the Closed state.
Upon reception of Configure-Request packets, a Terminate-Ack is
sent. Terminate-Acks are silently discarded to avoid creating a
loop.
Stopped
The Stopped state is the Open counterpart to the Closed state. It
is entered when the automaton is waiting for a Down event after
the This-Layer-Finished action, or after sending a Terminate-Ack.
The Restart timer is not running in the Stopped state.
Upon reception of Configure-Request packets, an appropriate
response is sent. Upon reception of other packets, a Terminate-
Ack is sent. Terminate-Acks are silently discarded to avoid
creating a loop.
Rationale:
The Stopped state is a junction state for link termination,
link configuration failure, and other automaton failure modes.
These potentially separate states have been combined.
There is a race condition between the Down event response (from
Simpson [Page 18]
^L
RFC 1331 Point-to-Point Protocol May 1992
the This-Layer-Finished action) and the Receive-Configure-
Request event. When a Configure-Request arrives before the
Down event, the Down event will supercede by returning the
automaton to the Starting state. This prevents attack by
repetition.
Implementation Option:
After the peer fails to respond to Configure-Requests, an
implementation MAY wait passively for the peer to send
Configure-Requests. In this case, the This-Layer-Finished
action is not used for the TO- event in states Req-Sent, Ack-
Rcvd and Ack-Sent.
This option is useful for dedicated circuits, or circuits which
have no status signals available, but SHOULD NOT be used for
switched circuits.
Closing
In the Closing state, an attempt is made to terminate the
connection. A Terminate-Request has been sent and the Restart
timer is running, but a Terminate-Ack has not yet been received.
Upon reception of a Terminate-Ack, the Closed state is entered.
Upon the expiration of the Restart timer, a new Terminate-Request
is transmitted and the Restart timer is restarted. After the
Restart timer has expired Max-Terminate times, this action may be
skipped, and the Closed state may be entered.
Stopping
The Stopping state is the Open counterpart to the Closing state.
A Terminate-Request has been sent and the Restart timer is
running, but a Terminate-Ack has not yet been received.
Rationale:
The Stopping state provides a well defined opportunity to
terminate a link before allowing new traffic. After the link
has terminated, a new configuration may occur via the Stopped
or Starting states.
Request-Sent
In the Request-Sent state an attempt is made to configure the
connection. A Configure-Request has been sent and the Restart
timer is running, but a Configure-Ack has not yet been received
Simpson [Page 19]
^L
RFC 1331 Point-to-Point Protocol May 1992
nor has one been sent.
Ack-Received
In the Ack-Received state, a Configure-Request has been sent and a
Configure-Ack has been received. The Restart timer is still
running since a Configure-Ack has not yet been sent.
Ack-Sent
In the Ack-Sent state, a Configure-Request and a Configure-Ack
have both been sent but a Configure-Ack has not yet been received.
The Restart timer is always running in the Ack-Sent state.
Opened
In the Opened state, a Configure-Ack has been both sent and
received. The Restart timer is not running in the Opened state.
When entering the Opened state, the implementation SHOULD signal
the upper layers that it is now Up. Conversely, when leaving the
Opened state, the implementation SHOULD signal the upper layers
that it is now Down.
5.4. Events
Transitions and actions in the automaton are caused by events.
Up
The Up event occurs when a lower layer indicates that it is ready
to carry packets. Typically, this event is used to signal LCP
that the link is entering Link Establishment phase, or used to
signal a NCP that the link is entering Network-Layer Protocol
phase.
Down
The Down event occurs when a lower layer indicates that it is no
longer ready to carry packets. Typically, this event is used to
signal LCP that the link is entering Link Dead phase, or used to
signal a NCP that the link is leaving Network-Layer Protocol
phase.
Open
The Open event indicates that the link is administratively
available for traffic; that is, the network administrator (human
Simpson [Page 20]
^L
RFC 1331 Point-to-Point Protocol May 1992
or program) has indicated that the link is allowed to be Opened.
When this event occurs, and the link is not in the Opened state,
the automaton attempts to send configuration packets to the peer.
If the automaton is not able to begin configuration (the lower
layer is Down, or a previous Close event has not completed), the
establishment of the link is automatically delayed.
When a Terminate-Request is received, or other events occur which
cause the link to become unavailable, the automaton will progress
to a state where the link is ready to re-open. No additional
administrative intervention should be necessary.
Implementation Note:
Experience has shown that users will execute an additional Open
command when they want to renegotiate the link. Since this is
not the meaning of the Open event, it is suggested that when an
Open user command is executed in the Opened, Closing, Stopping,
or Stopped states, the implementation issue a Down event,
immediately followed by an Up event. This will cause the
renegotiation of the link, without any harmful side effects.
Close
The Close event indicates that the link is not available for
traffic; that is, the network administrator (human or program) has
indicated that the link is not allowed to be Opened. When this
event occurs, and the link is not in the Closed state, the
automaton attempts to terminate the connection. Futher attempts
to re-configure the link are denied until a new Open event occurs.
Timeout (TO+,TO-)
This event indicates the expiration of the Restart timer. The
Restart timer is used to time responses to Configure-Request and
Terminate-Request packets.
The TO+ event indicates that the Restart counter continues to be
greater than zero, which triggers the corresponding Configure-
Request or Terminate-Request packet to be retransmitted.
The TO- event indicates that the Restart counter is not greater
than zero, and no more packets need to be retransmitted.
Receive-Configure-Request (RCR+,RCR-)
This event occurs when a Configure-Request packet is received from
Simpson [Page 21]
^L
RFC 1331 Point-to-Point Protocol May 1992
the peer. The Configure-Request packet indicates the desire to
open a connection and may specify Configuration Options. The
Configure-Request packet is more fully described in a later
section.
The RCR+ event indicates that the Configure-Request was
acceptable, and triggers the transmission of a corresponding
Configure-Ack.
The RCR- event indicates that the Configure-Request was
unacceptable, and triggers the transmission of a corresponding
Configure-Nak or Configure-Reject.
Implementation Note:
These events may occur on a connection which is already in the
Opened state. The implementation MUST be prepared to
immediately renegotiate the Configuration Options.
Receive-Configure-Ack (RCA)
The Receive-Configure-Ack event occurs when a valid Configure-Ack
packet is received from the peer. The Configure-Ack packet is a
positive response to a Configure-Request packet. An out of
sequence or otherwise invalid packet is silently discarded.
Implementation Note:
Since the correct packet has already been received before
reaching the Ack-Rcvd or Opened states, it is extremely
unlikely that another such packet will arrive. As specified,
all invalid Ack/Nak/Rej packets are silently discarded, and do
not affect the transitions of the automaton.
However, it is not impossible that a correctly formed packet
will arrive through a coincidentally-timed cross-connection.
It is more likely to be the result of an implementation error.
At the very least, this occurance should be logged.
Receive-Configure-Nak/Rej (RCN)
This event occurs when a valid Configure-Nak or Configure-Reject
packet is received from the peer. The Configure-Nak and
Configure-Reject packets are negative responses to a Configure-
Request packet. An out of sequence or otherwise invalid packet is
silently discarded.
Simpson [Page 22]
^L
RFC 1331 Point-to-Point Protocol May 1992
Implementation Note:
Although the Configure-Nak and Configure-Reject cause the same
state transition in the automaton, these packets have
significantly different effects on the Configuration Options
sent in the resulting Configure-Request packet.
Receive-Terminate-Request (RTR)
The Receive-Terminate-Request event occurs when a Terminate-
Request packet is received. The Terminate-Request packet
indicates the desire of the peer to close the connection.
Implementation Note:
This event is not identical to the Close event (see above), and
does not override the Open commands of the local network
administrator. The implementation MUST be prepared to receive
a new Configure-Request without network administrator
intervention.
Receive-Terminate-Ack (RTA)
The Receive-Terminate-Ack event occurs when a Terminate-Ack packet
is received from the peer. The Terminate-Ack packet is usually a
response to a Terminate-Request packet. The Terminate-Ack packet
may also indicate that the peer is in Closed or Stopped states,
and serves to re-synchronize the link configuration.
Receive-Unknown-Code (RUC)
The Receive-Unknown-Code event occurs when an un-interpretable
packet is received from the peer. A Code-Reject packet is sent in
response.
Receive-Code-Reject, Receive-Protocol-Reject (RXJ+,RXJ-)
This event occurs when a Code-Reject or a Protocol-Reject packet
is received from the peer.
The RXJ+ event arises when the rejected value is acceptable, such
as a Code-Reject of an extended code, or a Protocol-Reject of a
NCP. These are within the scope of normal operation. The
implementation MUST stop sending the offending packet type.
The RXJ- event arises when the rejected value is catastrophic,
such as a Code-Reject of Configure-Request, or a Protocol-Reject
of LCP! This event communicates an unrecoverable error that
Simpson [Page 23]
^L
RFC 1331 Point-to-Point Protocol May 1992
terminates the connection.
Receive-Echo-Request, Receive-Echo-Reply, Receive-Discard-Request
(RXR)
This event occurs when an Echo-Request, Echo-Reply or Discard-
Request packet is received from the peer. The Echo-Reply packet
is a response to a Echo-Request packet. There is no reply to an
Echo-Reply or Discard-Request packet.
5.5. Actions
Actions in the automaton are caused by events and typically indicate
the transmission of packets and/or the starting or stopping of the
Restart timer.
Illegal-Event (-)
This indicates an event that SHOULD NOT occur. The implementation
probably has an internal error.
This-Layer-Up (tlu)
This action indicates to the upper layers that the automaton is
entering the Opened state.
Typically, this action MAY be used by the LCP to signal the Up
event to a NCP, Authentication Protocol, or Link Quality Protocol,
or MAY be used by a NCP to indicate that the link is available for
its traffic.
This-Layer-Down (tld)
This action indicates to the upper layers that the automaton is
leaving the Opened state.
Typically, this action MAY be used by the LCP to signal the Down
event to a NCP, Authentication Protocol, or Link Quality Protocol,
or MAY be used by a NCP to indicate that the link is no longer
available for its traffic.
This-Layer-Start (tls)
This action indicates to the lower layers that the automaton is
entering the Starting state, and the lower layer is needed for the
link. The lower layer SHOULD respond with an Up event when the
lower layer is available.
Simpson [Page 24]
^L
RFC 1331 Point-to-Point Protocol May 1992
This action is highly implementation dependent.
This-Layer-Finished (tlf)
This action indicates to the lower layers that the automaton is
entering the Stopped or Closed states, and the lower layer is no
longer needed for the link. The lower layer SHOULD respond with a
Down event when the lower layer has terminated.
Typically, this action MAY be used by the LCP to advance to the
Link Dead phase, or MAY be used by a NCP to indicate to the LCP
that the link may terminate when there are no other NCPs open.
This action is highly implementation dependent.
Initialize-Restart-Counter (irc)
This action sets the Restart counter to the appropriate value
(Max-Terminate or Max-Configure). The counter is decremented for
each transmission, including the first.
Zero-Restart-Counter (zrc)
This action sets the Restart counter to zero.
Implementation Note:
This action enables the FSA to pause before proceeding to the
desired final state. In addition to zeroing the Restart
counter, the implementation MUST set the timeout period to an
appropriate value.
Send-Configure-Request (scr)
The Send-Configure-Request action transmits a Configure-Request
packet. This indicates the desire to open a connection with a
specified set of Configuration Options. The Restart timer is
started when the Configure-Request packet is transmitted, to guard
against packet loss. The Restart counter is decremented each time
a Configure-Request is sent.
Send-Configure-Ack (sca)
The Send-Configure-Ack action transmits a Configure-Ack packet.
This acknowledges the reception of a Configure-Request packet with
an acceptable set of Configuration Options.
Simpson [Page 25]
^L
RFC 1331 Point-to-Point Protocol May 1992
Send-Configure-Nak (scn)
The Send-Configure-Nak action transmits a Configure-Nak or
Configure-Reject packet, as appropriate. This negative response
reports the reception of a Configure-Request packet with an
unacceptable set of Configuration Options. Configure-Nak packets
are used to refuse a Configuration Option value, and to suggest a
new, acceptable value. Configure-Reject packets are used to
refuse all negotiation about a Configuration Option, typically
because it is not recognized or implemented. The use of
Configure-Nak versus Configure-Reject is more fully described in
the section on LCP Packet Formats.
Send-Terminate-Request (str)
The Send-Terminate-Request action transmits a Terminate-Request
packet. This indicates the desire to close a connection. The
Restart timer is started when the Terminate-Request packet is
transmitted, to guard against packet loss. The Restart counter is
decremented each time a Terminate-Request is sent.
Send-Terminate-Ack (sta)
The Send-Terminate-Ack action transmits a Terminate-Ack packet.
This acknowledges the reception of a Terminate-Request packet or
otherwise serves to synchronize the state machines.
Send-Code-Reject (scj)
The Send-Code-Reject action transmits a Code-Reject packet. This
indicates the reception of an unknown type of packet.
Send-Echo-Reply (ser)
The Send-Echo-Reply action transmits an Echo-Reply packet. This
acknowledges the reception of an Echo-Request packet.
5.6. Loop Avoidance
The protocol makes a reasonable attempt at avoiding Configuration
Option negotiation loops. However, the protocol does NOT guarantee
that loops will not happen. As with any negotiation, it is possible
to configure two PPP implementations with conflicting policies that
will never converge. It is also possible to configure policies which
do converge, but which take significant time to do so. Implementors
should keep this in mind and should implement loop detection
mechanisms or higher level timeouts.
Simpson [Page 26]
^L
RFC 1331 Point-to-Point Protocol May 1992
5.7. Counters and Timers
Restart Timer
There is one special timer used by the automaton. The Restart timer
is used to time transmissions of Configure-Request and Terminate-
Request packets. Expiration of the Restart timer causes a Timeout
event, and retransmission of the corresponding Configure-Request or
Terminate-Request packet. The Restart timer MUST be configurable,
but MAY default to three (3) seconds.
Implementation Note:
The Restart timer SHOULD be based on the speed of the link. The
default value is designed for low speed (19,200 bps or less), high
switching latency links (typical telephone lines). Higher speed
links, or links with low switching latency, SHOULD have
correspondingly faster retransmission times.
Max-Terminate
There is one required restart counter for Terminate-Requests. Max-
Terminate indicates the number of Terminate-Request packets sent
without receiving a Terminate-Ack before assuming that the peer is
unable to respond. Max-Terminate MUST be configurable, but should
default to two (2) transmissions.
Max-Configure
A similar counter is recommended for Configure-Requests. Max-
Configure indicates the number of Configure-Request packets sent
without receiving a valid Configure-Ack, Configure-Nak or Configure-
Reject before assuming that the peer is unable to respond. Max-
Configure MUST be configurable, but should default to ten (10)
transmissions.
Max-Failure
A related counter is recommended for Configure-Nak. Max-Failure
indicates the number of Configure-Nak packets sent without sending a
Configure-Ack before assuming that configuration is not converging.
Any further Configure-Nak packets are converted to Configure-Reject
packets. Max-Failure MUST be configurable, but should default to ten
(10) transmissions.
Simpson [Page 27]
^L
RFC 1331 Point-to-Point Protocol May 1992
6. LCP Packet Formats
There are three classes of LCP packets:
1. Link Configuration packets used to establish and configure a
link (Configure-Request, Configure-Ack, Configure-Nak and
Configure-Reject).
2. Link Termination packets used to terminate a link (Terminate-
Request and Terminate-Ack).
3. Link Maintenance packets used to manage and debug a link
(Code-Reject, Protocol-Reject, Echo-Request, Echo-Reply, and
Discard-Request).
This document describes Version 1 of the Link Control Protocol. In
the interest of simplicity, there is no version field in the LCP
packet. If a new version of LCP is necessary in the future, the
intention is that a new Data Link Layer Protocol field value will be
used to differentiate Version 1 LCP from all other versions. A
correctly functioning Version 1 LCP implementation will always
respond to unknown Protocols (including other versions) with an
easily recognizable Version 1 packet, thus providing a deterministic
fallback mechanism for implementations of other versions.
Regardless of which Configuration Options are enabled, all LCP Link
Configuration, Link Termination, and Code-Reject packets (codes 1
through 7) are always sent in the full, standard form, as if no
Configuration Options were enabled. This ensures that LCP
Configure-Request packets are always recognizable even when one end
of the link mistakenly believes the link to be open.
Exactly one Link Control Protocol packet is encapsulated in the
Information field of PPP Data Link Layer frames where the Protocol
field indicates type hex c021 (Link Control Protocol).
A summary of the Link Control Protocol packet format is shown below.
The fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Code | Identifier | Length |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Data ...
+-+-+-+-+
Simpson [Page 28]
^L
RFC 1331 Point-to-Point Protocol May 1992
Code
The Code field is one octet and identifies the kind of LCP packet.
When a packet is received with an invalid Code field, a Code-
Reject packet is transmitted.
The most up-to-date values of the LCP Code field are specified in
the most recent "Assigned Numbers" RFC [11]. Current values are
assigned as follows:
1 Configure-Request
2 Configure-Ack
3 Configure-Nak
4 Configure-Reject
5 Terminate-Request
6 Terminate-Ack
7 Code-Reject
8 Protocol-Reject
9 Echo-Request
10 Echo-Reply
11 Discard-Request
12 RESERVED
Identifier
The Identifier field is one octet and aids in matching requests
and replies. When a packet is received with an invalid Identifier
field, the packet is silently discarded.
Length
The Length field is two octets and indicates the length of the LCP
packet including the Code, Identifier, Length and Data fields.
Octets outside the range of the Length field should be treated as
Data Link Layer padding and should be ignored on reception. When
a packet is received with an invalid Length field, the packet is
silently discarded.
Data
The Data field is zero or more octets as indicated by the Length
field. The format of the Data field is determined by the Code
field.
Simpson [Page 29]
^L
RFC 1331 Point-to-Point Protocol May 1992
6.1. Configure-Request
Description
A LCP implementation wishing to open a connection MUST transmit a
LCP packet with the Code field set to 1 (Configure-Request) and
the Options field filled with any desired changes to the default
link Configuration Options.
Upon reception of a Configure-Request, an appropriate reply MUST
be transmitted.
A summary of the Configure-Request packet format is shown below. The
fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Code | Identifier | Length |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Options ...
+-+-+-+-+
Code
1 for Configure-Request.
Identifier
The Identifier field SHOULD be changed on each transmission. On
reception, the Identifier field should be copied into the
Identifier field of the appropriate reply packet.
Options
The options field is variable in length and contains the list of
zero or more Configuration Options that the sender desires to
negotiate. All Configuration Options are always negotiated
simultaneously. The format of Configuration Options is further
described in a later section.
Simpson [Page 30]
^L
RFC 1331 Point-to-Point Protocol May 1992
6.2. Configure-Ack
Description
If every Configuration Option received in a Configure-Request is
both recognizable and acceptable, then a LCP implementation should
transmit a LCP packet with the Code field set to 2 (Configure-
Ack), the Identifier field copied from the received Configure-
Request, and the Options field copied from the received
Configure-Request. The acknowledged Configuration Options MUST
NOT be reordered or modified in any way.
On reception of a Configure-Ack, the Identifier field must match
that of the last transmitted Configure-Request. Additionally, the
Configuration Options in a Configure-Ack must exactly match those
of the last transmitted Configure-Request. Invalid packets are
silently discarded.
A summary of the Configure-Ack packet format is shown below. The
fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Code | Identifier | Length |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Options ...
+-+-+-+-+
Code
2 for Configure-Ack.
Identifier
The Identifier field is a copy of the Identifier field of the
Configure-Request which caused this Configure-Ack.
Options
The Options field is variable in length and contains the list of
zero or more Configuration Options that the sender is
acknowledging. All Configuration Options are always acknowledged
simultaneously.
Simpson [Page 31]
^L
RFC 1331 Point-to-Point Protocol May 1992
6.3. Configure-Nak
Description
If every element of the received Configuration Options is
recognizable but some are not acceptable, then a LCP
implementation should transmit a LCP packet with the Code field
set to 3 (Configure-Nak), the Identifier field copied from the
received Configure-Request, and the Options field filled with only
the unacceptable Configuration Options from the Configure-Request.
All acceptable Configuration Options are filtered out of the
Configure-Nak, but otherwise the Configuration Options from the
Configure-Request MUST NOT be reordered.
Each of the Nak'd Configuration Options MUST be modified to a
value acceptable to the Configure-Nak sender. Options which have
no value fields (boolean options) use the Configure-Reject reply
instead.
Finally, an implementation may be configured to request the
negotiation of a specific option. If that option is not listed,
then that option may be appended to the list of Nak'd
Configuration Options in order to request the peer to list that
option in its next Configure-Request packet. Any value fields for
the option MUST indicate values acceptable to the Configure-Nak
sender.
On reception of a Configure-Nak, the Identifier field must match
that of the last transmitted Configure-Request. Invalid packets
are silently discarded.
Reception of a valid Configure-Nak indicates that a new
Configure-Request MAY be sent with the Configuration Options
modified as specified in the Configure-Nak.
Some Configuration Options have a variable length. Since the
Nak'd Option has been modified by the peer, the implementation
MUST be able to handle an Option length which is different from
the original Configure-Request.
Simpson [Page 32]
^L
RFC 1331 Point-to-Point Protocol May 1992
A summary of the Configure-Nak packet format is shown below. The
fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Code | Identifier | Length |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Options ...
+-+-+-+-+
Code
3 for Configure-Nak.
Identifier
The Identifier field is a copy of the Identifier field of the
Configure-Request which caused this Configure-Nak.
Options
The Options field is variable in length and contains the list of
zero or more Configuration Options that the sender is Nak'ing.
All Configuration Options are always Nak'd simultaneously.
6.4. Configure-Reject
Description
If some Configuration Options received in a Configure-Request are
not recognizable or are not acceptable for negotiation (as
configured by a network administrator), then a LCP implementation
should transmit a LCP packet with the Code field set to 4
(Configure-Reject), the Identifier field copied from the received
Configure-Request, and the Options field filled with only the
unacceptable Configuration Options from the Configure-Request.
All recognizable and negotiable Configuration Options are filtered
out of the Configure-Reject, but otherwise the Configuration
Options MUST NOT be reordered or modified in any way.
On reception of a Configure-Reject, the Identifier field must
match that of the last transmitted Configure-Request.
Additionally, the Configuration Options in a Configure-Reject must
be a proper subset of those in the last transmitted Configure-
Request. Invalid packets are silently discarded.
Simpson [Page 33]
^L
RFC 1331 Point-to-Point Protocol May 1992
Reception of a valid Configure-Reject indicates that a new
Configure-Request SHOULD be sent which does not include any of the
Configuration Options listed in the Configure-Reject.
A summary of the Configure-Reject packet format is shown below. The
fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Code | Identifier | Length |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Options ...
+-+-+-+-+
Code
4 for Configure-Reject.
Identifier
The Identifier field is a copy of the Identifier field of the
Configure-Request which caused this Configure-Reject.
Options
The Options field is variable in length and contains the list of
zero or more Configuration Options that the sender is rejecting.
All Configuration Options are always rejected simultaneously.
Simpson [Page 34]
^L
RFC 1331 Point-to-Point Protocol May 1992
6.5. Terminate-Request and Terminate-Ack
Description
LCP includes Terminate-Request and Terminate-Ack Codes in order to
provide a mechanism for closing a connection.
A LCP implementation wishing to close a connection should transmit
a LCP packet with the Code field set to 5 (Terminate-Request) and
the Data field filled with any desired data. Terminate-Request
packets should continue to be sent until Terminate-Ack is
received, the lower layer indicates that it has gone down, or a
sufficiently large number have been transmitted such that the peer
is down with reasonable certainty.
Upon reception of a Terminate-Request, a LCP packet MUST be
transmitted with the Code field set to 6 (Terminate-Ack), the
Identifier field copied from the Terminate-Request packet, and the
Data field filled with any desired data.
Reception of an unelicited Terminate-Ack indicates that the peer
is in the Closed or Stopped states, or is otherwise in need of
re-negotiation.
A summary of the Terminate-Request and Terminate-Ack packet formats
is shown below. The fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Code | Identifier | Length |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Data ...
+-+-+-+-+
Code
5 for Terminate-Request;
6 for Terminate-Ack.
Identifier
The Identifier field is one octet and aids in matching requests
and replies.
Simpson [Page 35]
^L
RFC 1331 Point-to-Point Protocol May 1992
Data
The Data field is zero or more octets and contains uninterpreted
data for use by the sender. The data may consist of any binary
value and may be of any length from zero to the peer's established
maximum Information field length minus four.
6.6. Code-Reject
Description
Reception of a LCP packet with an unknown Code indicates that one
of the communicating LCP implementations is faulty or incomplete.
This error MUST be reported back to the sender of the unknown Code
by transmitting a LCP packet with the Code field set to 7 (Code-
Reject), and the inducing packet copied to the Rejected-
Information field.
Upon reception of a Code-Reject, the implementation SHOULD report
the error, since it is unlikely that the situation can be
rectified automatically.
A summary of the Code-Reject packet format is shown below. The
fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Code | Identifier | Length |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Rejected-Packet ...
+-+-+-+-+-+-+-+-+
Code
7 for Code-Reject.
Identifier
The Identifier field is one octet and is for use by the
transmitter.
Rejected-Information
The Rejected-Information field contains a copy of the LCP packet
which is being rejected. It begins with the Information field,
and does not include any PPP Data Link Layer headers nor the FCS.
Simpson [Page 36]
^L
RFC 1331 Point-to-Point Protocol May 1992
The Rejected-Information MUST be truncated to comply with the
peer's established maximum Information field length.
Simpson [Page 37]
^L
RFC 1331 Point-to-Point Protocol May 1992
6.7. Protocol-Reject
Description
Reception of a PPP frame with an unknown Data Link Layer Protocol
indicates that the peer is attempting to use a protocol which is
unsupported. This usually occurs when the peer attempts to
configure a new protocol. If the LCP state machine is in the
Opened state, then this error MUST be reported back to the peer by
transmitting a LCP packet with the Code field set to 8 (Protocol-
Reject), the Rejected-Protocol field set to the received Protocol,
and the inducing packet copied to the Rejected-Information field.
Upon reception of a Protocol-Reject, a LCP implementation SHOULD
stop transmitting frames of the indicated protocol.
Protocol-Reject packets may only be sent in the LCP Opened state.
Protocol-Reject packets received in any state other than the LCP
Opened state SHOULD be silently discarded.
A summary of the Protocol-Reject packet format is shown below. The
fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Code | Identifier | Length |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Rejected-Protocol | Rejected-Information ...
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
Code
8 for Protocol-Reject.
Identifier
The Identifier field is one octet and is for use by the
transmitter.
Rejected-Protocol
The Rejected-Protocol field is two octets and contains the
Protocol of the Data Link Layer frame which is being rejected.
Rejected-Information
The Rejected-Information field contains a copy from the frame
Simpson [Page 38]
^L
RFC 1331 Point-to-Point Protocol May 1992
which is being rejected. It begins with the Information field,
and does not include any PPP Data Link Layer headers nor the FCS.
The Rejected-Information MUST be truncated to comply with the
peer's established maximum Information field length.
6.8. Echo-Request and Echo-Reply
Description
LCP includes Echo-Request and Echo-Reply Codes in order to provide
a Data Link Layer loopback mechanism for use in exercising both
directions of the link. This is useful as an aid in debugging,
link quality determination, performance testing, and for numerous
other functions.
An Echo-Request sender transmits a LCP packet with the Code field
set to 9 (Echo-Request), the Identifier field set, the local
Magic-Number inserted, and the Data field filled with any desired
data, up to but not exceeding the peer's established maximum
Information field length minus eight.
Upon reception of an Echo-Request, a LCP packet MUST be
transmitted with the Code field set to 10 (Echo-Reply), the
Identifier field copied from the received Echo-Request, the local
Magic-Number inserted, and the Data field copied from the Echo-
Request, truncating as necessary to avoid exceeding the peer's
established maximum Information field length.
Echo-Request and Echo-Reply packets may only be sent in the LCP
Opened state. Echo-Request and Echo-Reply packets received in any
state other than the LCP Opened state SHOULD be silently
discarded.
A summary of the Echo-Request and Echo-Reply packet formats is shown
below. The fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Code | Identifier | Length |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Magic-Number |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Data ...
+-+-+-+-+
Simpson [Page 39]
^L
RFC 1331 Point-to-Point Protocol May 1992
Code
9 for Echo-Request;
10 for Echo-Reply.
Identifier
The Identifier field is one octet and aids in matching Echo-
Requests and Echo-Replies.
Magic-Number
The Magic-Number field is four octets and aids in detecting links
which are in the looped-back condition. Unless modified by a
Configuration Option, the Magic-Number MUST be transmitted as zero
and MUST be ignored on reception. See the Magic-Number
Configuration Option for further explanation.
Data
The Data field is zero or more octets and contains uninterpreted
data for use by the sender. The data may consist of any binary
value and may be of any length from zero to the peer's established
maximum Information field length minus eight.
6.9. Discard-Request
Description
LCP includes a Discard-Request Code in order to provide a Data
Link Layer data sink mechanism for use in exercising the local to
remote direction of the link. This is useful as an aid in
debugging, performance testing, and for numerous other functions.
A discard sender transmits a LCP packet with the Code field set to
11 (Discard-Request) the Identifier field set, the local Magic-
Number inserted, and the Data field filled with any desired data,
up to but not exceeding the peer's established maximum Information
field length minus eight.
A discard receiver MUST simply throw away an Discard-Request that
it receives.
Discard-Request packets may only be sent in the LCP Opened state.
Simpson [Page 40]
^L
RFC 1331 Point-to-Point Protocol May 1992
A summary of the Discard-Request packet formats is shown below. The
fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Code | Identifier | Length |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Magic-Number |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Data ...
+-+-+-+-+
Code
11 for Discard-Request.
Identifier
The Identifier field is one octet and is for use by the Discard-
Request transmitter.
Magic-Number
The Magic-Number field is four octets and aids in detecting links
which are in the looped-back condition. Unless modified by a
configuration option, the Magic-Number MUST be transmitted as zero
and MUST be ignored on reception. See the Magic-Number
Configuration Option for further explanation.
Data
The Data field is zero or more octets and contains uninterpreted
data for use by the sender. The data may consist of any binary
value and may be of any length from zero to the peer's established
maximum Information field length minus four.
Simpson [Page 41]
^L
RFC 1331 Point-to-Point Protocol May 1992
7. LCP Configuration Options
LCP Configuration Options allow modifications to the standard
characteristics of a point-to-point link to be negotiated.
Negotiable modifications include such things as the maximum receive
unit, async control character mapping, the link authentication
method, etc. If a Configuration Option is not included in a
Configure-Request packet, the default value for that Configuration
Option is assumed.
The end of the list of Configuration Options is indicated by the
length of the LCP packet.
Unless otherwise specified, each Configuration Option is not listed
more than once in a Configuration Options list. Some Configuration
Options MAY be listed more than once. The effect of this is
Configuration Option specific and is specified by each such
Configuration Option.
Also unless otherwise specified, all Configuration Options apply in a
half-duplex fashion. When negotiated, they apply to only one
direction of the link, typically in the receive direction when
interpreted from the point of view of the Configure-Request sender.
Simpson [Page 42]
^L
RFC 1331 Point-to-Point Protocol May 1992
7.1. Format
A summary of the Configuration Option format is shown below. The
fields are transmitted from left to right.
0 1
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Type | Length | Data ...
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
Type
The Type field is one octet and indicates the type of
Configuration Option. The most up-to-date values of the LCP
Option Type field are specified in the most recent "Assigned
Numbers" RFC [11]. Current values are assigned as follows:
1 Maximum-Receive-Unit
2 Async-Control-Character-Map
3 Authentication-Protocol
4 Quality-Protocol
5 Magic-Number
6 RESERVED
7 Protocol-Field-Compression
8 Address-and-Control-Field-Compression
Length
The Length field is one octet and indicates the length of this
Configuration Option including the Type, Length and Data fields.
If a negotiable Configuration Option is received in a Configure-
Request but with an invalid Length, a Configure-Nak SHOULD be
transmitted which includes the desired Configuration Option with
an appropriate Length and Data.
Data
The Data field is zero or more octets and indicates the value or
other information for this Configuration Option. The format and
length of the Data field is determined by the Type and Length
fields.
Simpson [Page 43]
^L
RFC 1331 Point-to-Point Protocol May 1992
7.2. Maximum-Receive-Unit
Description
This Configuration Option may be sent to inform the peer that the
implementation can receive larger frames, or to request that the
peer send smaller frames. If smaller frames are requested, an
implementation MUST still be able to receive 1500 octet frames in
case link synchronization is lost.
A summary of the Maximum-Receive-Unit Configuration Option format is
shown below. The fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Type | Length | Maximum-Receive-Unit |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
Type
1
Length
4
Maximum-Receive-Unit
The Maximum-Receive-Unit field is two octets and indicates the new
maximum receive unit. The Maximum-Receive-Unit covers only the
Data Link Layer Information field. It does not include the
header, padding, FCS, nor any transparency bits or bytes.
Default
1500
Simpson [Page 44]
^L
RFC 1331 Point-to-Point Protocol May 1992
7.3. Async-Control-Character-Map
Description
This Configuration Option provides a way to negotiate the use of
control character mapping on asynchronous links. By default, PPP
maps all control characters into an appropriate two character
sequence. However, it is rarely necessary to map all control
characters and often it is unnecessary to map any characters. A
PPP implementation may use this Configuration Option to inform the
peer which control characters must remain mapped and which control
characters need not remain mapped when the peer sends them. The
peer may still send these control characters in mapped format if
it is necessary because of constraints at the peer.
There may be some use of synchronous-to-asynchronous converters
(some built into modems) in Point-to-Point links resulting in a
synchronous PPP implementation on one end of a link and an
asynchronous implementation on the other. It is the
responsibility of the converter to do all mapping conversions
during operation. To enable this functionality, synchronous PPP
implementations MUST always accept a Async-Control-Character-Map
Configuration Option (it MUST always respond to an LCP Configure-
Request specifying this Configuration Option with an LCP
Configure-Ack). However, acceptance of this Configuration Option
does not imply that the synchronous implementation will do any
character mapping, since synchronous PPP uses bit-stuffing rather
than character-stuffing. Instead, all such character mapping will
be performed by the asynchronous-to-synchronous converter.
A summary of the Async-Control-Character-Map Configuration Option
format is shown below. The fields are transmitted from left to
right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Type | Length | Async-Control-Character-Map
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
ACCM (cont) |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
Type
2
Simpson [Page 45]
^L
RFC 1331 Point-to-Point Protocol May 1992
Length
6
Async-Control-Character-Map
The Async-Control-Character-Map field is four octets and indicates
the new async control character map. The map is encoded in big-
endian fashion where each numbered bit corresponds to the ASCII
control character of the same value. If the bit is cleared to
zero, then that ASCII control character need not be mapped. If
the bit is set to one, then that ASCII control character must
remain mapped. E.g., if bit 19 is set to zero, then the ASCII
control character 19 (DC3, Control-S) may be sent in the clear.
Note: The bit ordering of the map is as described in section
3.1, Most Significant Bit to Least Significant Bit. The least
significant bit of the least significant octet (the final octet
transmitted) is numbered bit 0, and would map to the ASCII
control character NUL.
Default
All ones (0xffffffff).
Simpson [Page 46]
^L
RFC 1331 Point-to-Point Protocol May 1992
7.4. Authentication-Protocol
Description
On some links it may be desirable to require a peer to
authenticate itself before allowing network-layer protocol packets
to be exchanged. This Configuration Option provides a way to
negotiate the use of a specific authentication protocol. By
default, authentication is not necessary.
An implementation SHOULD NOT include multiple Authentication-
Protocol Configuration Options in its Configure-Request packets.
Instead, it SHOULD attempt to configure the most desirable
protocol first. If that protocol is Rejected, then the
implementation could attempt the next most desirable protocol in
the next Configure-Request.
An implementation receiving a Configure-Request specifying
Authentication-Protocols MAY choose at most one of the negotiable
authentication protocols and MUST send a Configure-Reject
including the other specified authentication protocols. The
implementation MAY reject all of the proposed authentication
protocols.
If an implementation sends a Configure-Ack with this Configuration
Option, then it is agreeing to authenticate with the specified
protocol. An implementation receiving a Configure-Ack with this
Configuration Option SHOULD expect the peer to authenticate with
the acknowledged protocol.
There is no requirement that authentication be full duplex or that
the same protocol be used in both directions. It is perfectly
acceptable for different protocols to be used in each direction.
This will, of course, depend on the specific protocols negotiated.
A summary of the Authentication-Protocol Configuration Option format
is shown below. The fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Type | Length | Authentication-Protocol |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Data ...
+-+-+-+-+
Simpson [Page 47]
^L
RFC 1331 Point-to-Point Protocol May 1992
Type
3
Length
>= 4
Authentication-Protocol
The Authentication-Protocol field is two octets and indicates the
authentication protocol desired. Values for this field are always
the same as the PPP Data Link Layer Protocol field values for that
same authentication protocol.
The most up-to-date values of the Authentication-Protocol field
are specified in the most recent "Assigned Numbers" RFC [11].
Current values are assigned as follows:
Value (in hex) Protocol
c023 Password Authentication Protocol
c223 Challenge Handshake Authentication
Protocol
Data
The Data field is zero or more octets and contains additional data
as determined by the particular protocol.
Default
No authentication protocol necessary.
Simpson [Page 48]
^L
RFC 1331 Point-to-Point Protocol May 1992
7.5. Quality-Protocol
Description
On some links it may be desirable to determine when, and how
often, the link is dropping data. This process is called link
quality monitoring.
This Configuration Option provides a way to negotiate the use of a
specific protocol for link quality monitoring. By default, link
quality monitoring is disabled.
There is no requirement that quality monitoring be full duplex or
that the same protocol be used in both directions. It is
perfectly acceptable for different protocols to be used in each
direction. This will, of course, depend on the specific protocols
negotiated.
A summary of the Quality-Protocol Configuration Option format is
shown below. The fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Type | Length | Quality-Protocol |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Data ...
+-+-+-+-+
Type
4
Length
>= 4
Quality-Protocol
The Quality-Protocol field is two octets and indicates the link
quality monitoring protocol desired. Values for this field are
always the same as the PPP Data Link Layer Protocol field values
for that same monitoring protocol.
The most up-to-date values of the Quality-Protocol field are
specified in the most recent "Assigned Numbers" RFC [11]. Current
values are assigned as follows:
Simpson [Page 49]
^L
RFC 1331 Point-to-Point Protocol May 1992
Value (in hex) Protocol
c025 Link Quality Report
Data
The Data field is zero or more octets and contains additional data
as determined by the particular protocol.
Default
None
Simpson [Page 50]
^L
RFC 1331 Point-to-Point Protocol May 1992
7.6. Magic-Number
Description
This Configuration Option provides a way to detect looped-back
links and other Data Link Layer anomalies. This Configuration
Option MAY be required by some other Configuration Options such as
the Monitoring-Protocol Configuration Option.
Before this Configuration Option is requested, an implementation
must choose its Magic-Number. It is recommended that the Magic-
Number be chosen in the most random manner possible in order to
guarantee with very high probability that an implementation will
arrive at a unique number. A good way to choose a unique random
number is to start with an unique seed. Suggested sources of
uniqueness include machine serial numbers, other network hardware
addresses, time-of-day clocks, etc. Particularly good random
number seeds are precise measurements of the inter-arrival time of
physical events such as packet reception on other connected
networks, server response time, or the typing rate of a human
user. It is also suggested that as many sources as possible be
used simultaneously.
When a Configure-Request is received with a Magic-Number
Configuration Option, the received Magic-Number is compared with
the Magic-Number of the last Configure-Request sent to the peer.
If the two Magic-Numbers are different, then the link is not
looped-back, and the Magic-Number should be acknowledged. If the
two Magic-Numbers are equal, then it is possible, but not certain,
that the link is looped-back and that this Configure-Request is
actually the one last sent. To determine this, a Configure-Nak
should be sent specifying a different Magic-Number value. A new
Configure-Request should not be sent to the peer until normal
processing would cause it to be sent (i.e., until a Configure-Nak
is received or the Restart timer runs out).
Reception of a Configure-Nak with a Magic-Number different from
that of the last Configure-Nak sent to the peer proves that a link
is not looped-back, and indicates a unique Magic-Number. If the
Magic-Number is equal to the one sent in the last Configure-Nak,
the possibility of a looped-back link is increased, and a new
Magic-Number should be chosen. In either case, a new Configure-
Request should be sent with the new Magic-Number.
If the link is indeed looped-back, this sequence (transmit
Configure-Request, receive Configure-Request, transmit Configure-
Nak, receive Configure-Nak) will repeat over and over again. If
the link is not looped-back, this sequence might occur a few
Simpson [Page 51]
^L
RFC 1331 Point-to-Point Protocol May 1992
times, but it is extremely unlikely to occur repeatedly. More
likely, the Magic-Numbers chosen at either end will quickly
diverge, terminating the sequence. The following table shows the
probability of collisions assuming that both ends of the link
select Magic-Numbers with a perfectly uniform distribution:
Number of Collisions Probability
-------------------- ---------------------
1 1/2**32 = 2.3 E-10
2 1/2**32**2 = 5.4 E-20
3 1/2**32**3 = 1.3 E-29
Good sources of uniqueness or randomness are required for this
divergence to occur. If a good source of uniqueness cannot be
found, it is recommended that this Configuration Option not be
enabled; Configure-Requests with the option SHOULD NOT be
transmitted and any Magic-Number Configuration Options which the
peer sends SHOULD be either acknowledged or rejected. In this
case, loop-backs cannot be reliably detected by the
implementation, although they may still be detectable by the peer.
If an implementation does transmit a Configure-Request with a
Magic-Number Configuration Option, then it MUST NOT respond with a
Configure-Reject if its peer also transmits a Configure-Request
with a Magic-Number Configuration Option. That is, if an
implementation desires to use Magic Numbers, then it MUST also
allow its peer to do so. If an implementation does receive a
Configure-Reject in response to a Configure-Request, it can only
mean that the link is not looped-back, and that its peer will not
be using Magic-Numbers. In this case, an implementation should
act as if the negotiation had been successful (as if it had
instead received a Configure-Ack).
The Magic-Number also may be used to detect looped-back links
during normal operation as well as during Configuration Option
negotiation. All LCP Echo-Request, Echo-Reply, and Discard-
Request packets have a Magic-Number field which MUST normally be
zero, and MUST normally be ignored on reception. If Magic-Number
has been successfully negotiated, an implementation MUST transmit
these packets with the Magic-Number field set to its negotiated
Magic-Number.
The Magic-Number field of these packets SHOULD be inspected on
reception. All received Magic-Number fields MUST be equal to
either zero or the peer's unique Magic-Number, depending on
whether or not the peer negotiated one.
Reception of a Magic-Number field equal to the negotiated local
Simpson [Page 52]
^L
RFC 1331 Point-to-Point Protocol May 1992
Magic-Number indicates a looped-back link. Reception of a Magic-
Number other than the negotiated local Magic-Number or the peer's
negotiated Magic-Number, or zero if the peer didn't negotiate one,
indicates a link which has been (mis)configured for communications
with a different peer.
Procedures for recovery from either case are unspecified and may
vary from implementation to implementation. A somewhat
pessimistic procedure is to assume a LCP Down event. A further
Open event will begin the process of re-establishing the link,
which can't complete until the loop-back condition is terminated
and Magic-Numbers are successfully negotiated. A more optimistic
procedure (in the case of a loop-back) is to begin transmitting
LCP Echo-Request packets until an appropriate Echo-Reply is
received, indicating a termination of the loop-back condition.
A summary of the Magic-Number Configuration Option format is shown
below. The fields are transmitted from left to right.
0 1 2 3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Type | Length | Magic-Number
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
Magic-Number (cont) |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
Type
5
Length
6
Magic-Number
The Magic-Number field is four octets and indicates a number which
is very likely to be unique to one end of the link. A Magic-
Number of zero is illegal and MUST always be Nak'd, if it is not
Rejected outright.
Default
None.
Simpson [Page 53]
^L
RFC 1331 Point-to-Point Protocol May 1992
7.7. Protocol-Field-Compression
Description
This Configuration Option provides a way to negotiate the
compression of the Data Link Layer Protocol field. By default,
all implementations MUST transmit standard PPP frames with two
octet Protocol fields. However, PPP Protocol field numbers are
chosen such that some values may be compressed into a single octet
form which is clearly distinguishable from the two octet form.
This Configuration Option is sent to inform the peer that the
implementation can receive such single octet Protocol fields.
Compressed Protocol fields MUST NOT be transmitted unless this
Configuration Option has been negotiated.
As previously mentioned, the Protocol field uses an extension
mechanism consistent with the ISO 3309 extension mechanism for the
Address field; the Least Significant Bit (LSB) of each octet is
used to indicate extension of the Protocol field. A binary "0" as
the LSB indicates that the Protocol field continues with the
following octet. The presence of a binary "1" as the LSB marks
the last octet of the Protocol field. Notice that any number of
"0" octets may be prepended to the field, and will still indicate
the same value (consider the two representations for 3, 00000011
and 00000000 00000011).
In the interest of simplicity, the standard PPP frame uses this
fact and always sends Protocol fields with a two octet
representation. Protocol field values less than 256 (decimal) are
prepended with a single zero octet even though transmission of
this, the zero and most significant octet, is unnecessary.
However, when using low speed links, it is desirable to conserve
bandwidth by sending as little redundant data as possible. The
Protocol Compression Configuration Option allows a trade-off
between implementation simplicity and bandwidth efficiency. If
successfully negotiated, the ISO 3309 extension mechanism may be
used to compress the Protocol field to one octet instead of two.
The large majority of frames are compressible since data protocols
are typically assigned with Protocol field values less than 256.
In addition, PPP implementations must continue to be robust and
MUST accept PPP frames with either double-octet or single-octet
Protocol fields, and MUST NOT distinguish between them.
The Protocol field is never compressed when sending any LCP
packet. This rule guarantees unambiguous recognition of LCP
packets.
Simpson [Page 54]
^L
RFC 1331 Point-to-Point Protocol May 1992
When a Protocol field is compressed, the Data Link Layer FCS field
is calculated on the compressed frame, not the original
uncompressed frame.
A summary of the Protocol-Field-Compression Configuration Option
format is shown below. The fields are transmitted from left to
right.
0 1
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Type | Length |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
Type
7
Length
2
Default
Disabled.
Simpson [Page 55]
^L
RFC 1331 Point-to-Point Protocol May 1992
7.8. Address-and-Control-Field-Compression
Description
This Configuration Option provides a way to negotiate the
compression of the Data Link Layer Address and Control fields. By
default, all implementations MUST transmit frames with Address and
Control fields and MUST use the hexadecimal values 0xff and 0x03
respectively. Since these fields have constant values, they are
easily compressed. This Configuration Option is sent to inform
the peer that the implementation can receive compressed Address
and Control fields.
Compressed Address and Control fields are formed by simply
omitting them. By definition the first octet of a two octet
Protocol field will never be 0xff, and the Protocol field value
0x00ff is not allowed (reserved) to avoid ambiguity.
On reception, the Address and Control fields are decompressed by
examining the first two octets. If they contain the values 0xff
and 0x03, they are assumed to be the Address and Control fields.
If not, it is assumed that the fields were compressed and were not
transmitted.
If a compressed frame is received when Address-and-Control-Field-
Compression has not been negotiated, the implementation MAY
silently discard the frame.
The Address and Control fields MUST NOT be compressed when sending
any LCP packet. This rule guarantees unambiguous recognition of
LCP packets.
When the Address and Control fields are compressed, the Data Link
Layer FCS field is calculated on the compressed frame, not the
original uncompressed frame.
A summary of the Address-and-Control-Field-Compression configuration
option format is shown below. The fields are transmitted from left
to right.
0 1
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Type | Length |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
Simpson [Page 56]
^L
RFC 1331 Point-to-Point Protocol May 1992
Type
8
Length
2
Default
Not compressed.
Simpson [Page 57]
^L
RFC 1331 Point-to-Point Protocol May 1992
A. Asynchronous HDLC
This appendix summarizes the modifications to ISO 3309-1979 proposed
in ISO 3309:1984/PDAD1, as applied in the Point-to-Point Protocol.
These modifications allow HDLC to be used with 8-bit asynchronous
links.
Transmission Considerations
All octets are transmitted with one start bit, eight bits of data,
and one stop bit. There is no provision in either PPP or ISO
3309:1984/PDAD1 for seven bit asynchronous links.
Flag Sequence
The Flag Sequence is a single octet and indicates the beginning or
end of a frame. The Flag Sequence consists of the binary sequence
01111110 (hexadecimal 0x7e).
Transparency
On asynchronous links, a character stuffing procedure is used.
The Control Escape octet is defined as binary 01111101
(hexadecimal 0x7d) where the bit positions are numbered 87654321
(not 76543210, BEWARE).
After FCS computation, the transmitter examines the entire frame
between the two Flag Sequences. Each Flag Sequence, Control
Escape octet and octet with value less than hexadecimal 0x20 which
is flagged in the Remote Async-Control-Character-Map is replaced
by a two octet sequence consisting of the Control Escape octet and
the original octet with bit 6 complemented (i.e., exclusive-or'd
with hexadecimal 0x20).
Prior to FCS computation, the receiver examines the entire frame
between the two Flag Sequences. Each octet with value less than
hexadecimal 0x20 is checked. If it is flagged in the Local
Async-Control-Character-Map, it is simply removed (it may have
been inserted by intervening data communications equipment). For
each Control Escape octet, that octet is also removed, but bit 6
of the following octet is complemented. A Control Escape octet
immediately preceding the closing Flag Sequence indicates an
invalid frame.
Note: The inclusion of all octets less than hexadecimal 0x20
allows all ASCII control characters [10] excluding DEL (Delete)
to be transparently communicated through almost all known data
communications equipment.
Simpson [Page 58]
^L
RFC 1331 Point-to-Point Protocol May 1992
The transmitter may also send octets with value in the range 0x40
through 0xff (except 0x5e) in Control Escape format. Since these
octet values are not negotiable, this does not solve the problem
of receivers which cannot handle all non-control characters.
Also, since the technique does not affect the 8th bit, this does
not solve problems for communications links that can send only 7-
bit characters.
A few examples may make this more clear. Packet data is
transmitted on the link as follows:
0x7e is encoded as 0x7d, 0x5e.
0x7d is encoded as 0x7d, 0x5d.
0x01 is encoded as 0x7d, 0x21.
Some modems with software flow control may intercept outgoing DC1
and DC3 ignoring the 8th (parity) bit. This data would be
transmitted on the link as follows:
0x11 is encoded as 0x7d, 0x31.
0x13 is encoded as 0x7d, 0x33.
0x91 is encoded as 0x7d, 0xb1.
0x93 is encoded as 0x7d, 0xb3.
Aborting a Transmission
On asynchronous links, frames may be aborted by transmitting a "0"
stop bit where a "1" bit is expected (framing error) or by
transmitting a Control Escape octet followed immediately by a
closing Flag Sequence.
Time Fill
On asynchronous links, inter-octet and inter-frame time fill MUST
be accomplished by transmitting continuous "1" bits (mark-hold
state).
Note: On asynchronous links, inter-frame time fill can be
viewed as extended inter-octet time fill. Doing so can save
one octet for every frame, decreasing delay and increasing
bandwidth. This is possible since a Flag Sequence may serve as
both a frame close and a frame begin. After having received
any frame, an idle receiver will always be in a frame begin
state.
Robust transmitters should avoid using this trick over-
zealously since the price for decreased delay is decreased
reliability. Noisy links may cause the receiver to receive
Simpson [Page 59]
^L
RFC 1331 Point-to-Point Protocol May 1992
garbage characters and interpret them as part of an incoming
frame. If the transmitter does not transmit a new opening Flag
Sequence before sending the next frame, then that frame will be
appended to the noise characters causing an invalid frame (with
high reliability). Transmitters should avoid this by
transmitting an open Flag Sequence whenever "appreciable time"
has elapsed since the prior closing Flag Sequence. It is
suggested that implementations will achieve the best results by
always sending an opening Flag Sequence if the new frame is not
back-to-back with the last. The maximum value for "appreciable
time" is likely to be no greater than the typing rate of a slow
to average typist, say 1 second.
Simpson [Page 60]
^L
RFC 1331 Point-to-Point Protocol May 1992
B. Fast Frame Check Sequence (FCS) Implementation
B.1. FCS Computation Method
The following code provides a table lookup computation for
calculating the Frame Check Sequence as data arrives at the
interface. This implementation is based on [7], [8], and [9]. The
table is created by the code in section B.2.
/*
* u16 represents an unsigned 16-bit number. Adjust the typedef for
* your hardware.
*/
typedef unsigned short u16;
/*
* FCS lookup table as calculated by the table generator in section
* B.2.
*/
static u16 fcstab[256] = {
0x0000, 0x1189, 0x2312, 0x329b, 0x4624, 0x57ad, 0x6536, 0x74bf,
0x8c48, 0x9dc1, 0xaf5a, 0xbed3, 0xca6c, 0xdbe5, 0xe97e, 0xf8f7,
0x1081, 0x0108, 0x3393, 0x221a, 0x56a5, 0x472c, 0x75b7, 0x643e,
0x9cc9, 0x8d40, 0xbfdb, 0xae52, 0xdaed, 0xcb64, 0xf9ff, 0xe876,
0x2102, 0x308b, 0x0210, 0x1399, 0x6726, 0x76af, 0x4434, 0x55bd,
0xad4a, 0xbcc3, 0x8e58, 0x9fd1, 0xeb6e, 0xfae7, 0xc87c, 0xd9f5,
0x3183, 0x200a, 0x1291, 0x0318, 0x77a7, 0x662e, 0x54b5, 0x453c,
0xbdcb, 0xac42, 0x9ed9, 0x8f50, 0xfbef, 0xea66, 0xd8fd, 0xc974,
0x4204, 0x538d, 0x6116, 0x709f, 0x0420, 0x15a9, 0x2732, 0x36bb,
0xce4c, 0xdfc5, 0xed5e, 0xfcd7, 0x8868, 0x99e1, 0xab7a, 0xbaf3,
0x5285, 0x430c, 0x7197, 0x601e, 0x14a1, 0x0528, 0x37b3, 0x263a,
0xdecd, 0xcf44, 0xfddf, 0xec56, 0x98e9, 0x8960, 0xbbfb, 0xaa72,
0x6306, 0x728f, 0x4014, 0x519d, 0x2522, 0x34ab, 0x0630, 0x17b9,
0xef4e, 0xfec7, 0xcc5c, 0xddd5, 0xa96a, 0xb8e3, 0x8a78, 0x9bf1,
0x7387, 0x620e, 0x5095, 0x411c, 0x35a3, 0x242a, 0x16b1, 0x0738,
0xffcf, 0xee46, 0xdcdd, 0xcd54, 0xb9eb, 0xa862, 0x9af9, 0x8b70,
0x8408, 0x9581, 0xa71a, 0xb693, 0xc22c, 0xd3a5, 0xe13e, 0xf0b7,
0x0840, 0x19c9, 0x2b52, 0x3adb, 0x4e64, 0x5fed, 0x6d76, 0x7cff,
0x9489, 0x8500, 0xb79b, 0xa612, 0xd2ad, 0xc324, 0xf1bf, 0xe036,
0x18c1, 0x0948, 0x3bd3, 0x2a5a, 0x5ee5, 0x4f6c, 0x7df7, 0x6c7e,
0xa50a, 0xb483, 0x8618, 0x9791, 0xe32e, 0xf2a7, 0xc03c, 0xd1b5,
0x2942, 0x38cb, 0x0a50, 0x1bd9, 0x6f66, 0x7eef, 0x4c74, 0x5dfd,
0xb58b, 0xa402, 0x9699, 0x8710, 0xf3af, 0xe226, 0xd0bd, 0xc134,
0x39c3, 0x284a, 0x1ad1, 0x0b58, 0x7fe7, 0x6e6e, 0x5cf5, 0x4d7c,
0xc60c, 0xd785, 0xe51e, 0xf497, 0x8028, 0x91a1, 0xa33a, 0xb2b3,
0x4a44, 0x5bcd, 0x6956, 0x78df, 0x0c60, 0x1de9, 0x2f72, 0x3efb,
0xd68d, 0xc704, 0xf59f, 0xe416, 0x90a9, 0x8120, 0xb3bb, 0xa232,
Simpson [Page 61]
^L
RFC 1331 Point-to-Point Protocol May 1992
0x5ac5, 0x4b4c, 0x79d7, 0x685e, 0x1ce1, 0x0d68, 0x3ff3, 0x2e7a,
0xe70e, 0xf687, 0xc41c, 0xd595, 0xa12a, 0xb0a3, 0x8238, 0x93b1,
0x6b46, 0x7acf, 0x4854, 0x59dd, 0x2d62, 0x3ceb, 0x0e70, 0x1ff9,
0xf78f, 0xe606, 0xd49d, 0xc514, 0xb1ab, 0xa022, 0x92b9, 0x8330,
0x7bc7, 0x6a4e, 0x58d5, 0x495c, 0x3de3, 0x2c6a, 0x1ef1, 0x0f78
};
#define PPPINITFCS 0xffff /* Initial FCS value */
#define PPPGOODFCS 0xf0b8 /* Good final FCS value */
/*
* Calculate a new fcs given the current fcs and the new data.
*/
u16 pppfcs(fcs, cp, len)
register u16 fcs;
register unsigned char *cp;
register int len;
{
ASSERT(sizeof (u16) == 2);
ASSERT(((u16) -1) > 0);
while (len--)
fcs = (fcs >> 8) ^ fcstab[(fcs ^ *cp++) & 0xff];
return (fcs);
}
Simpson [Page 62]
^L
RFC 1331 Point-to-Point Protocol May 1992
B.2. Fast FCS table generator
The following code creates the lookup table used to calculate the
FCS.
/*
* Generate a FCS table for the HDLC FCS.
*
* Drew D. Perkins at Carnegie Mellon University.
*
* Code liberally borrowed from Mohsen Banan and D. Hugh Redelmeier.
*/
/*
* The HDLC polynomial: x**0 + x**5 + x**12 + x**16 (0x8408).
*/
#define P 0x8408
main()
{
register unsigned int b, v;
register int i;
printf("typedef unsigned short u16;\n");
printf("static u16 fcstab[256] = {");
for (b = 0; ; ) {
if (b % 8 == 0)
printf("\n");
v = b;
for (i = 8; i--; )
v = v & 1 ? (v >> 1) ^ P : v >> 1;
printf("0x%04x", v & 0xFFFF);
if (++b == 256)
break;
printf(",");
}
printf("\n};\n");
}
Simpson [Page 63]
^L
RFC 1331 Point-to-Point Protocol May 1992
C. LCP Recommended Options
The following Configurations Options are recommended:
SYNC LINES
Magic Number
Link Quality Monitoring
No Address and Control Field Compression
No Protocol Field Compression
ASYNC LINES
Async Control Character Map
Magic Number
Address and Control Field Compression
Protocol Field Compression
Simpson [Page 64]
^L
RFC 1331 Point-to-Point Protocol May 1992
Security Considerations
Security issues are briefly discussed in sections concerning the
Authentication Phase, and the Authentication-Protocol Configuration
Option. Further discussion is planned in a separate document
entitled PPP Authentication Protocols.
References
[1] Electronic Industries Association, EIA Standard RS-232-C,
"Interface Between Data Terminal Equipment and Data
Communications Equipment Employing Serial Binary Data
Interchange", August 1969.
[2] International Organization For Standardization, ISO Standard
3309-1979, "Data communication - High-level data link control
procedures - Frame structure", 1979.
[3] International Organization For Standardization, ISO Standard
4335-1979, "Data communication - High-level data link control
procedures - Elements of procedures", 1979.
[4] International Organization For Standardization, ISO Standard
4335-1979/Addendum 1, "Data communication - High-level data
link control procedures - Elements of procedures - Addendum 1",
1979.
[5] International Organization For Standardization, Proposed Draft
International Standard ISO 3309:1983/PDAD1, "Information
processing systems - Data communication - High-level data link
control procedures - Frame structure - Addendum 1: Start/stop
transmission", 1984.
[6] International Telecommunication Union, CCITT Recommendation
X.25, "Interface Between Data Terminal Equipment (DTE) and Data
Circuit Terminating Equipment (DCE) for Terminals Operating in
the Packet Mode on Public Data Networks", CCITT Red Book,
Volume VIII, Fascicle VIII.3, Rec. X.25., October 1984.
[7] Perez, "Byte-wise CRC Calculations", IEEE Micro, June, 1983.
[8] Morse, G., "Calculating CRC's by Bits and Bytes", Byte,
September 1986.
[9] LeVan, J., "A Fast CRC", Byte, November 1987.
[10] American National Standards Institute, ANSI X3.4-1977,
"American National Standard Code for Information Interchange",
Simpson [Page 65]
^L
RFC 1331 Point-to-Point Protocol May 1992
1977.
[11] Reynolds, J., and J. Postel, "Assigned Numbers", RFC 1060,
USC/Information Sciences Institute, March 1990.
Acknowledgments
Much of the text in this document is taken from the WG Requirements
(unpublished), and RFCs 1171 & 1172, by Drew Perkins of Carnegie
Mellon University, and by Russ Hobby of the University of California
at Davis.
Many people spent significant time helping to develop the Point-to-
Point Protocol. The complete list of people is too numerous to list,
but the following people deserve special thanks: Rick Adams (UUNET),
Ken Adelman (TGV), Fred Baker (ACC), Mike Ballard (Telebit), Craig
Fox (NSC), Karl Fox (Morning Star Technologies), Phill Gross (NRI),
former WG chair Russ Hobby (UC Davis), David Kaufman (Proteon),
former WG chair Steve Knowles (FTP Software), John LoVerso
(Xylogics), Bill Melohn (Sun Microsystems), Mike Patton (MIT), former
WG chair Drew Perkins (CMU), Greg Satz (cisco systems) and Asher
Waldfogel (Wellfleet).
Chair's Address
The working group can be contacted via the current chair:
Brian Lloyd
Lloyd & Associates
3420 Sudbury Road
Cameron Park, California 95682
Phone: (916) 676-1147
EMail: brian@ray.lloyd.com
Author's Address
Questions about this memo can also be directed to:
William Allen Simpson
Daydreamer
Computer Systems Consulting Services
P O Box 6205
East Lansing, MI 48826-6025
EMail: bsimpson@ray.lloyd.com
Simpson [Page 66]
^L
|