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
|
Network Working Group R. Pereira
Request for Comments: 2451 TimeStep Corporation
Category: Standards Track R. Adams
Cisco Systems Inc.
November 1998
The ESP CBC-Mode Cipher Algorithms
Status of this Memo
This document specifies an Internet standards track protocol for the
Internet community, and requests discussion and suggestions for
improvements. Please refer to the current edition of the "Internet
Official Protocol Standards" (STD 1) for the standardization state
and status of this protocol. Distribution of this memo is unlimited.
Copyright Notice
Copyright (C) The Internet Society (1998). All Rights Reserved.
Abstract
This document describes how to use CBC-mode cipher algorithms with
the IPSec ESP (Encapsulating Security Payload) Protocol. It not only
clearly states how to use certain cipher algorithms, but also how to
use all CBC-mode cipher algorithms.
Table of Contents
1. Introduction...................................................2
1.1 Specification of Requirements...............................2
1.2 Intellectual Property Rights Statement......................2
2. Cipher Algorithms..............................................2
2.1 Mode........................................................3
2.2 Key Size....................................................3
2.3 Weak Keys...................................................4
2.4 Block Size and Padding......................................5
2.5 Rounds......................................................6
2.6 Backgrounds.................................................6
2.7 Performance.................................................8
3. ESP Payload....................................................8
3.1 ESP Environmental Considerations............................9
3.2 Keying Material.............................................9
4. Security Considerations........................................9
5. References....................................................10
6. Acknowledgments...............................................11
7. Editors' Addresses............................................12
Pereira & Adams Standards Track [Page 1]
^L
RFC 2451 ESP CBC-Mode Cipher Algorithms November 1998
8. Full Copyright Statement......................................14
1. Introduction
The Encapsulating Security Payload (ESP) [Kent98] provides
confidentiality for IP datagrams by encrypting the payload data to be
protected. This specification describes the ESP use of CBC-mode
cipher algorithms.
While this document does not describe the use of the default cipher
algorithm DES, the reader should be familiar with that document.
[Madson98]
It is assumed that the reader is familiar with the terms and concepts
described in the "Security Architecture for the Internet Protocol"
[Atkinson95], "IP Security Document Roadmap" [Thayer97], and "IP
Encapsulating Security Payload (ESP)" [Kent98] documents.
Furthermore, this document is a companion to [Kent98] and MUST be
read in its context.
1.1 Specification of Requirements
The keywords "MUST", "MUST NOT", "REQUIRED", "SHOULD", "SHOULD NOT",
and "MAY" that appear in this document are to be interpreted as
described in [Bradner97].
1.2 Intellectual Property Rights Statement
The IETF takes no position regarding the validity or scope of any
intellectual property or other rights that might be claimed to
pertain to the implementation or use of the technology described in
this document or the extent to which any license under such rights
might or might not be available; neither does it represent that it
has made any effort to identify any such rights. Information on the
IETF's procedures with respect to rights in standards-track and
standards-related documentation can be found in BCP-11. Copies of
claims of rights made available for publication and any assurances of
licenses to be made available, or the result of an attempt made to
obtain a general license or permission for the use of such
proprietary rights by implementers or users of this specification can
be obtained from the IETF Secretariat.
2. Cipher Algorithms
All symmetric block cipher algorithms share common characteristics
and variables. These include mode, key size, weak keys, block size,
and rounds. All of which will be explained below.
Pereira & Adams Standards Track [Page 2]
^L
RFC 2451 ESP CBC-Mode Cipher Algorithms November 1998
While this document illustrates certain cipher algorithms such as
Blowfish [Schneier93], CAST-128 [Adams97], 3DES, IDEA [Lai] [MOV],
and RC5 [Baldwin96], any other block cipher algorithm may be used
with ESP if all of the variables described within this document are
clearly defined.
2.1 Mode
All symmetric block cipher algorithms described or insinuated within
this document use Cipher Block Chaining (CBC) mode. This mode
requires an Initialization Vector (IV) that is the same size as the
block size. Use of a randomly generated IV prevents generation of
identical ciphertext from packets which have identical data that
spans the first block of the cipher algorithm's blocksize.
The IV is XOR'd with the first plaintext block, before it is
encrypted. Then for successive blocks, the previous ciphertext block
is XOR'd with the current plaintext, before it is encrypted.
More information on CBC mode can be obtained in [Schneier95].
2.2 Key Size
Some cipher algorithms allow for variable sized keys, while others
only allow a specific key size. The length of the key correlates
with the strength of that algorithm, thus larger keys are always
harder to break than shorter ones.
This document stipulates that all key sizes MUST be a multiple of 8
bits.
This document does specify the default key size for each cipher
algorithm. This size was chosen by consulting experts on the
algorithm and by balancing strength of the algorithm with
performance.
Pereira & Adams Standards Track [Page 3]
^L
RFC 2451 ESP CBC-Mode Cipher Algorithms November 1998
+==============+==================+=================+==========+
| Algorithm | Key Sizes (bits) | Popular Sizes | Default |
+==============+==================+=================+==========+
| CAST-128 [1] | 40 to 128 | 40, 64, 80, 128 | 128 |
+--------------+------------------+-----------------+----------+
| RC5 | 40 to 2040 | 40, 128, 160 | 128 |
+--------------+------------------+-----------------+----------+
| IDEA | 128 | 128 | 128 |
+--------------+------------------+-----------------+----------+
| Blowfish | 40 to 448 | 128 | 128 |
+--------------+------------------+-----------------+----------+
| 3DES [2] | 192 | 192 | 192 |
+--------------+------------------+-----------------+----------+
Notes:
[1] With CAST-128, keys less than 128 bits MUST be padded with zeros
in the rightmost, or least significant, positions out to 128 bits
since the CAST-128 key schedule assumes an input key of 128 bits.
Thus if you had a key with a size of 80 bits '3B5D831CFE', it would
be padded to produce a key with a size of 128 bits
'3B5D831CFE000000'.
[2] The first 3DES key is taken from the first 64 bits, the second
from the next 64 bits, and the third from the last 64 bits.
Implementations MUST take into consideration the parity bits when
initially accepting a new set of keys. Each of the three keys is
really 56 bits in length with the extra 8 bits used for parity.
The reader should note that the minimum key size for all of the above
cipher algorithms is 40 bits, and that the authors strongly advise
that implementations do NOT use key sizes smaller than 40 bits.
2.3 Weak Keys
Weak key checks SHOULD be performed. If such a key is found, the key
SHOULD be rejected and a new SA requested. Some cipher algorithms
have weak keys or keys that MUST not be used due to their weak
nature.
New weak keys might be discovered, so this document does not in any
way contain all possible weak keys for these ciphers. Please check
with other sources of cryptography such as [MOV] and [Schneier] for
further weak keys.
CAST-128:
No known weak keys.
Pereira & Adams Standards Track [Page 4]
^L
RFC 2451 ESP CBC-Mode Cipher Algorithms November 1998
RC5:
No known weak keys when used with 16 rounds.
IDEA:
IDEA has been found to have weak keys. Please check with [MOV] and
[Schneier] for more information.
Blowfish:
Weak keys for Blowfish have been discovered. Weak keys are keys that
produce the identical entries in a given S-box. Unfortunately, there
is no way to test for weak keys before the S- box values are
generated. However, the chances of randomly generating such a key
are small.
3DES:
DES has 64 known weak keys, including so-called semi-weak keys and
possibly-weak keys [Schneier95, pp 280-282]. The likelihood of
picking one at random is negligible.
For DES-EDE3, there is no known need to reject weak or
complementation keys. Any weakness is obviated by the use of
multiple keys.
However, if the first two or last two independent 64-bit keys are
equal (k1 == k2 or k2 == k3), then the 3DES operation is simply the
same as DES. Implementers MUST reject keys that exhibit this
property.
2.4 Block Size and Padding
All of the algorithms described in this document use a block size of
eight octets (64 bits).
Padding is used to align the payload type and pad length octets as
specified in [Kent98]. Padding must be sufficient to align the data
to be encrypted to an eight octet (64 bit) boundary.
Pereira & Adams Standards Track [Page 5]
^L
RFC 2451 ESP CBC-Mode Cipher Algorithms November 1998
2.5 Rounds
This variable determines how many times a block is encrypted. While
this variable MAY be negotiated, a default value MUST always exist
when it is not negotiated.
+====================+============+======================+
| Algorithm | Negotiable | Default Rounds |
+====================+============+======================+
| CAST-128 | No | key<=80 bits, 12 |
| | | key>80 bits, 16 |
+--------------------+------------+----------------------+
| RC5 | No | 16 |
+--------------------+------------+----------------------+
| IDEA | No | 8 |
+--------------------+------------+----------------------+
| Blowfish | No | 16 |
+--------------------+------------+----------------------+
| 3DES | No | 48 (16x3) |
+--------------------+------------+----------------------+
2.6 Backgrounds
CAST-128:
The CAST design procedure was originally developed by Carlisle Adams
and Stafford Tavares at Queen's University, Kingston, Ontario,
Canada. Subsequent enhancements have been made over the years by
Carlisle Adams and Michael Wiener of Entrust Technologies. CAST-128
is the result of applying the CAST Design Procedure as outlined in
[Adams97].
RC5:
The RC5 encryption algorithm was developed by Ron Rivest for RSA Data
Security Inc. in order to address the need for a high- performance
software and hardware ciphering alternative to DES. It is patented
(pat.no. 5,724,428). A description of RC5 may be found in [MOV] and
[Schneier].
IDEA:
Xuejia Lai and James Massey developed the IDEA (International Data
Encryption Algorithm) algorithm. The algorithm is described in
detail in [Lai], [Schneier] and [MOV].
Pereira & Adams Standards Track [Page 6]
^L
RFC 2451 ESP CBC-Mode Cipher Algorithms November 1998
The IDEA algorithm is patented in Europe and in the United States
with patent application pending in Japan. Licenses are required for
commercial uses of IDEA.
For patent and licensing information, contact:
Ascom Systec AG, Dept. CMVV
Gewerbepark, CH-5506
Magenwil, Switzerland
Phone: +41 64 56 59 83
Fax: +41 64 56 59 90
idea@ascom.ch
http://www.ascom.ch/Web/systec/policy/normal/exhibit1.html
Blowfish:
Bruce Schneier of Counterpane Systems developed the Blowfish block
cipher algorithm. The algorithm is described in detail in
[Schneier93], [Schneier95] and [Schneier].
3DES:
This DES variant, colloquially known as "Triple DES" or as DES-EDE3,
processes each block three times, each time with a different key.
This technique of using more than one DES operation was proposed in
[Tuchman79].
P1 P2 Pi
| | |
IV->->(X) +>->->->(X) +>->->->(X)
v ^ v ^ v
+-----+ ^ +-----+ ^ +-----+
k1->| E | ^ k1->| E | ^ k1->| E |
+-----+ ^ +-----+ ^ +-----+
| ^ | ^ |
v ^ v ^ v
+-----+ ^ +-----+ ^ +-----+
k2->| D | ^ k2->| D | ^ k2->| D |
+-----+ ^ +-----+ ^ +-----+
| ^ | ^ |
v ^ v ^ v
+-----+ ^ +-----+ ^ +-----+
k3->| E | ^ k3->| E | ^ k3->| E |
+-----+ ^ +-----+ ^ +-----+
| ^ | ^ |
+>->->+ +>->->+ +>->->
| | |
C1 C2 Ci
Pereira & Adams Standards Track [Page 7]
^L
RFC 2451 ESP CBC-Mode Cipher Algorithms November 1998
The DES-EDE3-CBC algorithm is a simple variant of the DES-CBC
algorithm [FIPS-46]. The "outer" chaining technique is used.
In DES-EDE3-CBC, an Initialization Vector (IV) is XOR'd with the
first 64-bit (8 byte) plaintext block (P1). The keyed DES function
is iterated three times, an encryption (Ek1) followed by a decryption
(Dk2) followed by an encryption (Ek3), and generates the ciphertext
(C1) for the block. Each iteration uses an independent key: k1, k2
and k3.
For successive blocks, the previous ciphertext block is XOR'd with
the current plaintext (Pi). The keyed DES-EDE3 encryption function
generates the ciphertext (Ci) for that block.
To decrypt, the order of the functions is reversed: decrypt with k3,
encrypt with k2, decrypt with k1, and XOR the previous ciphertext
block.
Note that when all three keys (k1, k2 and k3) are the same, DES-
EDE3-CBC is equivalent to DES-CBC. This property allows the DES-EDE3
hardware implementations to operate in DES mode without modification.
For more explanation and implementation information for Triple DES,
see [Schneier95].
2.7 Performance
For a comparison table of the estimated speed of any of these and
other cipher algorithms, please see [Schneier97] or for an up-to-date
performance comparison, please see [Bosseleaers].
3. ESP Payload
The ESP payload is made up of the IV followed by raw cipher-text.
Thus the payload field, as defined in [Kent98], is broken down
according to the following diagram:
+---------------+---------------+---------------+---------------+
| |
+ Initialization Vector (8 octets) +
| |
+---------------+---------------+---------------+---------------+
| |
~ Encrypted Payload (variable length) ~
| |
+---------------------------------------------------------------+
1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8
Pereira & Adams Standards Track [Page 8]
^L
RFC 2451 ESP CBC-Mode Cipher Algorithms November 1998
The IV field MUST be same size as the block size of the cipher
algorithm being used. The IV MUST be chosen at random. Common
practice is to use random data for the first IV and the last block of
encrypted data from an encryption process as the IV for the next
encryption process.
Including the IV in each datagram ensures that decryption of each
received datagram can be performed, even when some datagrams are
dropped, or datagrams are re-ordered in transit.
To avoid ECB encryption of very similar plaintext blocks in different
packets, implementations MUST NOT use a counter or other low-Hamming
distance source for IVs.
3.1 ESP Environmental Considerations
Currently, there are no known issues regarding interactions between
these algorithms and other aspects of ESP, such as use of certain
authentication schemes.
3.2 Keying Material
The minimum number of bits sent from the key exchange protocol to
this ESP algorithm must be greater or equal to the key size.
The cipher's encryption and decryption key is taken from the first
<x> bits of the keying material, where <x> represents the required
key size.
4. Security Considerations
Implementations are encouraged to use the largest key sizes they can
when taking into account performance considerations for their
particular hardware and software configuration. Note that encryption
necessarily impacts both sides of a secure channel, so such
consideration must take into account not only the client side, but
the server as well.
For information on the case for using random values please see
[Bell97].
For further security considerations, the reader is encouraged to read
the documents that describe the actual cipher algorithms.
Pereira & Adams Standards Track [Page 9]
^L
RFC 2451 ESP CBC-Mode Cipher Algorithms November 1998
5. References
[Adams97] Adams, C, "The CAST-128 Encryption Algorithm",
RFC2144, 1997.
[Atkinson98]Kent, S. and R. Atkinson, "Security Architecture for the
Internet Protocol", RFC 2401, November 1998.
[Baldwin96] Baldwin, R. and R. Rivest, "The RC5, RC5-CBC, RC5-CBC-
Pad, and RC5-CTS Algorithms", RFC 2040, October 1996.
[Bell97] S. Bellovin, "Probable Plaintext Cryptanalysis of the IP
Security Protocols", Proceedings of the Symposium on
Network and Distributed System Security, San Diego, CA,
pp. 155-160, February 1997 (also
http://www.research.att.com/~smb/probtxt.{ps, pdf}).
[Bosselaers]A. Bosselaers, "Performance of Pentium implementations",
http://www.esat.kuleuven.ac.be/~bosselae/
[Bradner97] Bradner, S., "Key words for use in RFCs to indicate
Requirement Levels", BCP 14, RFC 2119, March 1997.
[Crypto93] J. Daemen, R. Govaerts, J. Vandewalle, "Weak Keys for
IDEA", Advances in Cryptology, CRYPTO 93 Proceedings,
Springer-Verlag, pp. 224-230.
[FIPS-46] US National Bureau of Standards, "Data Encryption
Standard", Federal Information Processing Standard (FIPS)
Publication 46, January 1977.
[Kent98] Kent, S. and R. Atkinson, "IP Encapsulating Security
Payload (ESP)", RFC 2406, November 1998.
[Lai] X. Lai, "On the Design and Security of Block Ciphers",
ETH Series in Information Processing, v. 1, Konstanz:
Hartung-Gorre Verlag, 1992.
[Madson98] Madson, C. and N. Dorswamy, "The ESP DES-CBC Cipher
Algorithm With Explicit IV", RFC 2405, November 1998.
[MOV] A. Menezes, P. Van Oorschot, S. Vanstone, "Handbook of
Applied Cryptography", CRC Press, 1997. ISBN 0-8493-
8523-7
[Schneier] B. Schneier, "Applied Cryptography Second Edition", John
Wiley & Sons, New York, NY, 1995. ISBN 0-471-12845-7
Pereira & Adams Standards Track [Page 10]
^L
RFC 2451 ESP CBC-Mode Cipher Algorithms November 1998
[Schneier93]B. Schneier, "Description of a New Variable-Length Key,
64-Bit Block Cipher", from "Fast Software Encryption,
Cambridge Security Workshop Proceedings", Springer-
Verlag, 1994, pp. 191-204.
http://www.counterpane.com/bfsverlag.html
[Schneier95]B. Schneier, "The Blowfish Encryption Algorithm - One
Year Later", Dr. Dobb's Journal, September 1995,
http://www.counterpane.com/bfdobsoyl.html
[Schneier97]B. Scheier, "Speed Comparisons of Block Ciphers on a
Pentium." February 1997,
http://www.counterpane.com/speed.html
[Thayer97] Thayer, R., Doraswamy, N. and R. Glenn, "IP Security
Document Roadmap", RFC 2411, November 1998.
[Tuchman79] Tuchman, W, "Hellman Presents No Shortcut Solutions to
DES", IEEE Spectrum, v. 16 n. 7, July 1979, pp. 40-41.
6. Acknowledgments
This document is a merger of most of the ESP cipher algorithm
documents. This merger was done to facilitate greater understanding
of the commonality of all of the ESP algorithms and to further the
development of these algorithm within ESP.
The content of this document is based on suggestions originally from
Stephen Kent and subsequent discussions from the IPSec mailing list
as well as other IPSec documents.
Special thanks to Carlisle Adams and Paul Van Oorschot both of
Entrust Technologies who provided input and review of CAST.
Thanks to all of the editors of the previous ESP 3DES documents; W.
Simpson, N. Doraswamy, P. Metzger, and P. Karn.
Thanks to Brett Howard from TimeStep for his original work of ESP-
RC5.
Thanks to Markku-Juhani Saarinen, Helger Lipmaa and Bart Preneel for
their input on IDEA and other ciphers.
Pereira & Adams Standards Track [Page 11]
^L
RFC 2451 ESP CBC-Mode Cipher Algorithms November 1998
7. Editors' Addresses
Roy Pereira
TimeStep Corporation
Phone: +1 (613) 599-3610 x 4808
EMail: rpereira@timestep.com
Rob Adams
Cisco Systems Inc.
Phone: +1 (408) 457-5397
EMail: adams@cisco.com
Contributors:
Robert W. Baldwin
RSA Data Security, Inc.
Phone: +1 (415) 595-8782
EMail: baldwin@rsa.com or baldwin@lcs.mit.edu
Greg Carter
Entrust Technologies
Phone: +1 (613) 763-1358
EMail: carterg@entrust.com
Rodney Thayer
Sable Technology Corporation
Phone: +1 (617) 332-7292
EMail: rodney@sabletech.com
Pereira & Adams Standards Track [Page 12]
^L
RFC 2451 ESP CBC-Mode Cipher Algorithms November 1998
The IPSec working group can be contacted via the IPSec working
group's mailing list (ipsec@tis.com) or through its chairs:
Robert Moskowitz
International Computer Security Association
EMail: rgm@icsa.net
Theodore Y. Ts'o
Massachusetts Institute of Technology
EMail: tytso@MIT.EDU
Pereira & Adams Standards Track [Page 13]
^L
RFC 2451 ESP CBC-Mode Cipher Algorithms November 1998
8. Full Copyright Statement
Copyright (C) The Internet Society (1998). All Rights Reserved.
This document and translations of it may be copied and furnished to
others, and derivative works that comment on or otherwise explain it
or assist in its implementation may be prepared, copied, published
and distributed, in whole or in part, without restriction of any
kind, provided that the above copyright notice and this paragraph are
included on all such copies and derivative works. However, this
document itself may not be modified in any way, such as by removing
the copyright notice or references to the Internet Society or other
Internet organizations, except as needed for the purpose of
developing Internet standards in which case the procedures for
copyrights defined in the Internet Standards process must be
followed, or as required to translate it into languages other than
English.
The limited permissions granted above are perpetual and will not be
revoked by the Internet Society or its successors or assigns.
This document and the information contained herein is provided on an
"AS IS" basis and THE INTERNET SOCIETY AND THE INTERNET ENGINEERING
TASK FORCE DISCLAIMS ALL WARRANTIES, EXPRESS OR IMPLIED, INCLUDING
BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF THE INFORMATION
HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED WARRANTIES OF
MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
Pereira & Adams Standards Track [Page 14]
^L
|