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+Network Working Group C. Adams
+Request for Comments: 2144 Entrust Technologies
+Category: Informational May 1997
+
+
+ The CAST-128 Encryption Algorithm
+
+Status of this Memo
+
+ This memo provides information for the Internet community. This memo
+ does not specify an Internet standard of any kind. Distribution of
+ this memo is unlimited.
+
+Abstract
+
+ There is a need in the Internet community for an unencumbered
+ encryption algorithm with a range of key sizes that can provide
+ security for a variety of cryptographic applications and protocols.
+
+ This document describes an existing algorithm that can be used to
+ satisfy this requirement. Included are a description of the cipher
+ and the key scheduling algorithm (Section 2), the s-boxes (Appendix
+ A), and a set of test vectors (Appendix B).
+
+TABLE OF CONTENTS
+
+ STATUS OF THIS MEMO.............................................1
+ ABSTRACT........................................................1
+ 1. INTRODUCTION.................................................1
+ 2. DESCRIPTION OF ALGORITHM.....................................2
+ 3. INTELLECTUAL PROPERTY CONSIDERATIONS.........................8
+ 4. SECURITY CONSIDERATIONS......................................8
+ 5. REFERENCES...................................................8
+ 6. AUTHOR'S ADDRESS.............................................8
+ APPENDICES
+ A. S-BOXES......................................................9
+ B. TEST VECTORS................................................15
+
+1. Introduction
+
+ This document describes the CAST-128 encryption algorithm, a DES-like
+ Substitution-Permutation Network (SPN) cryptosystem which appears to
+ have good resistance to differential cryptanalysis, linear
+ cryptanalysis, and related-key cryptanalysis. This cipher also
+ possesses a number of other desirable cryptographic properties,
+ including avalanche, Strict Avalanche Criterion (SAC), Bit
+ Independence Criterion (BIC), no complementation property, and an
+ absence of weak and semi-weak keys. It thus appears to be a good
+
+
+
+Adams Informational [Page 1]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
+ candidate for general-purpose use throughout the Internet community
+ wherever a cryptographically-strong, freely-available encryption
+ algorithm is required.
+
+ Adams [Adams] discusses the CAST design procedure in some detail;
+ analyses can also be obtained on-line (see, for example, [Web1] or
+ [Web2]).
+
+2. Description of Algorithm
+
+ CAST-128 belongs to the class of encryption algorithms known as
+ Feistel ciphers; overall operation is thus similar to the Data
+ Encryption Standard (DES). The full encryption algorithm is given in
+ the following four steps.
+
+ INPUT: plaintext m1...m64; key K = k1...k128.
+ OUTPUT: ciphertext c1...c64.
+
+ 1. (key schedule) Compute 16 pairs of subkeys {Kmi, Kri} from K
+ (see Sections 2.1 and 2.4).
+ 2. (L0,R0) <-- (m1...m64). (Split the plaintext into left and
+ right 32-bit halves L0 = m1...m32 and R0 = m33...m64.)
+ 3. (16 rounds) for i from 1 to 16, compute Li and Ri as follows:
+ Li = Ri-1;
+ Ri = Li-1 ^ f(Ri-1,Kmi,Kri), where f is defined in Section 2.2
+ (f is of Type 1, Type 2, or Type 3, depending on i).
+ 4. c1...c64 <-- (R16,L16). (Exchange final blocks L16, R16 and
+ concatenate to form the ciphertext.)
+
+ Decryption is identical to the encryption algorithm given above,
+ except that the rounds (and therefore the subkey pairs) are used in
+ reverse order to compute (L0,R0) from (R16,L16).
+
+ See Appendix B for test vectors which can be used to verify
+ correctness of an implementation of this algorithm.
+
+2.1. Pairs of Round Keys
+
+ CAST-128 uses a pair of subkeys per round: a 32-bit quantity Km is
+ used as a "masking" key and a 5-bit quantity Kr is used as a
+ "rotation" key.
+
+
+
+
+
+
+
+
+
+
+Adams Informational [Page 2]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
+2.2. Non-Identical Rounds
+
+ Three different round functions are used in CAST-128. The rounds are
+ as follows (where "D" is the data input to the f function and "Ia" -
+ "Id" are the most significant byte through least significant byte of
+ I, respectively). Note that "+" and "-" are addition and subtraction
+ modulo 2**32, "^" is bitwise XOR, and "<<<" is the circular left-
+ shift operation.
+
+ Type 1: I = ((Kmi + D) <<< Kri)
+ f = ((S1[Ia] ^ S2[Ib]) - S3[Ic]) + S4[Id]
+
+ Type 2: I = ((Kmi ^ D) <<< Kri)
+ f = ((S1[Ia] - S2[Ib]) + S3[Ic]) ^ S4[Id]
+
+ Type 3: I = ((Kmi - D) <<< Kri)
+ f = ((S1[Ia] + S2[Ib]) ^ S3[Ic]) - S4[Id]
+
+ Rounds 1, 4, 7, 10, 13, and 16 use f function Type 1.
+ Rounds 2, 5, 8, 11, and 14 use f function Type 2.
+ Rounds 3, 6, 9, 12, and 15 use f function Type 3.
+
+
+2.3. Substitution Boxes
+
+ CAST-128 uses eight substitution boxes: s-boxes S1, S2, S3, and S4
+ are round function s-boxes; S5, S6, S7, and S8 are key schedule s-
+ boxes. Although 8 s-boxes require a total of 8 KBytes of storage,
+ note that only 4 KBytes are required during actual encryption /
+ decryption since subkey generation is typically done prior to any
+ data input.
+
+ See Appendix A for the contents of s-boxes S1 - S8.
+
+2.4. Key Schedule
+
+ Let the 128-bit key be x0x1x2x3x4x5x6x7x8x9xAxBxCxDxExF, where x0
+ represents the most significant byte and xF represents the least
+ significant byte.
+
+ Let z0..zF be intermediate (temporary) bytes.
+ Let Si[] represent s-box i and let "^" represent XOR addition.
+
+
+
+
+
+
+
+
+
+Adams Informational [Page 3]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
+ The subkeys are formed from the key x0x1x2x3x4x5x6x7x8x9xAxBxCxDxExF
+ as follows.
+
+ z0z1z2z3 = x0x1x2x3 ^ S5[xD] ^ S6[xF] ^ S7[xC] ^ S8[xE] ^ S7[x8]
+ z4z5z6z7 = x8x9xAxB ^ S5[z0] ^ S6[z2] ^ S7[z1] ^ S8[z3] ^ S8[xA]
+ z8z9zAzB = xCxDxExF ^ S5[z7] ^ S6[z6] ^ S7[z5] ^ S8[z4] ^ S5[x9]
+ zCzDzEzF = x4x5x6x7 ^ S5[zA] ^ S6[z9] ^ S7[zB] ^ S8[z8] ^ S6[xB]
+ K1 = S5[z8] ^ S6[z9] ^ S7[z7] ^ S8[z6] ^ S5[z2]
+ K2 = S5[zA] ^ S6[zB] ^ S7[z5] ^ S8[z4] ^ S6[z6]
+ K3 = S5[zC] ^ S6[zD] ^ S7[z3] ^ S8[z2] ^ S7[z9]
+ K4 = S5[zE] ^ S6[zF] ^ S7[z1] ^ S8[z0] ^ S8[zC]
+ x0x1x2x3 = z8z9zAzB ^ S5[z5] ^ S6[z7] ^ S7[z4] ^ S8[z6] ^ S7[z0]
+ x4x5x6x7 = z0z1z2z3 ^ S5[x0] ^ S6[x2] ^ S7[x1] ^ S8[x3] ^ S8[z2]
+ x8x9xAxB = z4z5z6z7 ^ S5[x7] ^ S6[x6] ^ S7[x5] ^ S8[x4] ^ S5[z1]
+ xCxDxExF = zCzDzEzF ^ S5[xA] ^ S6[x9] ^ S7[xB] ^ S8[x8] ^ S6[z3]
+ K5 = S5[x3] ^ S6[x2] ^ S7[xC] ^ S8[xD] ^ S5[x8]
+ K6 = S5[x1] ^ S6[x0] ^ S7[xE] ^ S8[xF] ^ S6[xD]
+ K7 = S5[x7] ^ S6[x6] ^ S7[x8] ^ S8[x9] ^ S7[x3]
+ K8 = S5[x5] ^ S6[x4] ^ S7[xA] ^ S8[xB] ^ S8[x7]
+ z0z1z2z3 = x0x1x2x3 ^ S5[xD] ^ S6[xF] ^ S7[xC] ^ S8[xE] ^ S7[x8]
+ z4z5z6z7 = x8x9xAxB ^ S5[z0] ^ S6[z2] ^ S7[z1] ^ S8[z3] ^ S8[xA]
+ z8z9zAzB = xCxDxExF ^ S5[z7] ^ S6[z6] ^ S7[z5] ^ S8[z4] ^ S5[x9]
+ zCzDzEzF = x4x5x6x7 ^ S5[zA] ^ S6[z9] ^ S7[zB] ^ S8[z8] ^ S6[xB]
+ K9 = S5[z3] ^ S6[z2] ^ S7[zC] ^ S8[zD] ^ S5[z9]
+ K10 = S5[z1] ^ S6[z0] ^ S7[zE] ^ S8[zF] ^ S6[zC]
+ K11 = S5[z7] ^ S6[z6] ^ S7[z8] ^ S8[z9] ^ S7[z2]
+ K12 = S5[z5] ^ S6[z4] ^ S7[zA] ^ S8[zB] ^ S8[z6]
+ x0x1x2x3 = z8z9zAzB ^ S5[z5] ^ S6[z7] ^ S7[z4] ^ S8[z6] ^ S7[z0]
+ x4x5x6x7 = z0z1z2z3 ^ S5[x0] ^ S6[x2] ^ S7[x1] ^ S8[x3] ^ S8[z2]
+ x8x9xAxB = z4z5z6z7 ^ S5[x7] ^ S6[x6] ^ S7[x5] ^ S8[x4] ^ S5[z1]
+ xCxDxExF = zCzDzEzF ^ S5[xA] ^ S6[x9] ^ S7[xB] ^ S8[x8] ^ S6[z3]
+ K13 = S5[x8] ^ S6[x9] ^ S7[x7] ^ S8[x6] ^ S5[x3]
+ K14 = S5[xA] ^ S6[xB] ^ S7[x5] ^ S8[x4] ^ S6[x7]
+ K15 = S5[xC] ^ S6[xD] ^ S7[x3] ^ S8[x2] ^ S7[x8]
+ K16 = S5[xE] ^ S6[xF] ^ S7[x1] ^ S8[x0] ^ S8[xD]
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+Adams Informational [Page 4]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
+ [The remaining half is identical to what is given above, carrying on
+ from the last created x0..xF to generate keys K17 - K32.]
+
+ z0z1z2z3 = x0x1x2x3 ^ S5[xD] ^ S6[xF] ^ S7[xC] ^ S8[xE] ^ S7[x8]
+ z4z5z6z7 = x8x9xAxB ^ S5[z0] ^ S6[z2] ^ S7[z1] ^ S8[z3] ^ S8[xA]
+ z8z9zAzB = xCxDxExF ^ S5[z7] ^ S6[z6] ^ S7[z5] ^ S8[z4] ^ S5[x9]
+ zCzDzEzF = x4x5x6x7 ^ S5[zA] ^ S6[z9] ^ S7[zB] ^ S8[z8] ^ S6[xB]
+ K17 = S5[z8] ^ S6[z9] ^ S7[z7] ^ S8[z6] ^ S5[z2]
+ K18 = S5[zA] ^ S6[zB] ^ S7[z5] ^ S8[z4] ^ S6[z6]
+ K19 = S5[zC] ^ S6[zD] ^ S7[z3] ^ S8[z2] ^ S7[z9]
+ K20 = S5[zE] ^ S6[zF] ^ S7[z1] ^ S8[z0] ^ S8[zC]
+ x0x1x2x3 = z8z9zAzB ^ S5[z5] ^ S6[z7] ^ S7[z4] ^ S8[z6] ^ S7[z0]
+ x4x5x6x7 = z0z1z2z3 ^ S5[x0] ^ S6[x2] ^ S7[x1] ^ S8[x3] ^ S8[z2]
+ x8x9xAxB = z4z5z6z7 ^ S5[x7] ^ S6[x6] ^ S7[x5] ^ S8[x4] ^ S5[z1]
+ xCxDxExF = zCzDzEzF ^ S5[xA] ^ S6[x9] ^ S7[xB] ^ S8[x8] ^ S6[z3]
+ K21 = S5[x3] ^ S6[x2] ^ S7[xC] ^ S8[xD] ^ S5[x8]
+ K22 = S5[x1] ^ S6[x0] ^ S7[xE] ^ S8[xF] ^ S6[xD]
+ K23 = S5[x7] ^ S6[x6] ^ S7[x8] ^ S8[x9] ^ S7[x3]
+ K24 = S5[x5] ^ S6[x4] ^ S7[xA] ^ S8[xB] ^ S8[x7]
+ z0z1z2z3 = x0x1x2x3 ^ S5[xD] ^ S6[xF] ^ S7[xC] ^ S8[xE] ^ S7[x8]
+ z4z5z6z7 = x8x9xAxB ^ S5[z0] ^ S6[z2] ^ S7[z1] ^ S8[z3] ^ S8[xA]
+ z8z9zAzB = xCxDxExF ^ S5[z7] ^ S6[z6] ^ S7[z5] ^ S8[z4] ^ S5[x9]
+ zCzDzEzF = x4x5x6x7 ^ S5[zA] ^ S6[z9] ^ S7[zB] ^ S8[z8] ^ S6[xB]
+ K25 = S5[z3] ^ S6[z2] ^ S7[zC] ^ S8[zD] ^ S5[z9]
+ K26 = S5[z1] ^ S6[z0] ^ S7[zE] ^ S8[zF] ^ S6[zC]
+ K27 = S5[z7] ^ S6[z6] ^ S7[z8] ^ S8[z9] ^ S7[z2]
+ K28 = S5[z5] ^ S6[z4] ^ S7[zA] ^ S8[zB] ^ S8[z6]
+ x0x1x2x3 = z8z9zAzB ^ S5[z5] ^ S6[z7] ^ S7[z4] ^ S8[z6] ^ S7[z0]
+ x4x5x6x7 = z0z1z2z3 ^ S5[x0] ^ S6[x2] ^ S7[x1] ^ S8[x3] ^ S8[z2]
+ x8x9xAxB = z4z5z6z7 ^ S5[x7] ^ S6[x6] ^ S7[x5] ^ S8[x4] ^ S5[z1]
+ xCxDxExF = zCzDzEzF ^ S5[xA] ^ S6[x9] ^ S7[xB] ^ S8[x8] ^ S6[z3]
+ K29 = S5[x8] ^ S6[x9] ^ S7[x7] ^ S8[x6] ^ S5[x3]
+ K30 = S5[xA] ^ S6[xB] ^ S7[x5] ^ S8[x4] ^ S6[x7]
+ K31 = S5[xC] ^ S6[xD] ^ S7[x3] ^ S8[x2] ^ S7[x8]
+ K32 = S5[xE] ^ S6[xF] ^ S7[x1] ^ S8[x0] ^ S8[xD]
+
+2.4.1. Masking Subkeys And Rotate Subkeys
+
+ Let Km1, ..., Km16 be 32-bit masking subkeys (one per round).
+ Let Kr1, , Kr16 be 32-bit rotate subkeys (one per round); only the
+ least significant 5 bits are used in each round.
+
+ for (i=1; i<=16; i++) { Kmi = Ki; Kri = K16+i; }
+
+
+
+
+
+
+
+
+Adams Informational [Page 5]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
+2.5. Variable Keysize
+
+ The CAST-128 encryption algorithm has been designed to allow a key
+ size that can vary from 40 bits to 128 bits, in 8-bit increments
+ (that is, the allowable key sizes are 40, 48, 56, 64, ..., 112, 120,
+ and 128 bits. For variable keysize operation, the specification is
+ as follows:
+
+ 1) For key sizes up to and including 80 bits (i.e., 40, 48, 56, 64,
+ 72, and 80 bits), the algorithm is exactly as specified but uses
+ 12 rounds instead of 16;
+
+ 2) For key sizes greater than 80 bits, the algorithm uses the full 16
+ rounds;
+
+ 3) For key sizes less than 128 bits, the key is padded with zero
+ bytes (in the rightmost, or least significant, positions) out to
+ 128 bits (since the CAST-128 key schedule assumes an input key of
+ 128 bits).
+
+ Note that although CAST-128 can support all 12 key sizes listed
+ above, 40 bits, 64 bits, 80 bits, and 128 bits are the sizes that
+ find utility in typical environments. Therefore, it will likely be
+ sufficient for most implementations to support some subset of only
+ these four sizes.
+
+ In order to avoid confusion when variable keysize operation is used,
+ the name CAST-128 is to be considered synonymous with the name CAST5;
+ this allows a keysize to be appended without ambiguity. Thus, for
+ example, CAST-128 with a 40-bit key is to be referred to as CAST5-40;
+ where a 128-bit key is explicitly intended, the name CAST5-128 should
+ be used.
+
+2.6. CAST5 Object Identifiers
+
+ For those who may be using CAST in algorithm negotiation within a
+ protocol, or in any other context which may require the use of OBJECT
+ IDENTIFIERs, the following OIDs have been defined.
+
+algorithms OBJECT IDENTIFIER ::=
+ { iso(1) memberBody(2) usa(840) nt(113533) nsn(7) algorithms(66) }
+
+
+
+
+
+
+
+
+
+
+Adams Informational [Page 6]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
+cast5CBC OBJECT IDENTIFIER ::= { algorithms cast5CBC(10) }
+
+ Parameters ::= SEQUENCE {
+ iv OCTET STRING DEFAULT 0, -- Initialization vector
+ keyLength INTEGER -- Key length, in bits
+ }
+
+ Note: The iv is optional and defaults to all-zero. On the encoding
+ end, if an all-zero iv is used, then it should absent from
+ the Parameters. On the decoding end, an absent iv should be
+ interpreted as meaning all-zeros.
+
+ This is encryption and decryption in CBC mode using the CAST-128
+ symmetric block cipher algorithm.
+
+
+cast5MAC OBJECT IDENTIFIER ::= { algorithms cast5MAC(11) }
+
+ Parameters ::= SEQUENCE {
+ macLength INTEGER, -- MAC length, in bits
+ keyLength INTEGER -- Key length, in bits
+ }
+
+ This is message authentication using the CAST-128 symmetric block
+ cipher algorithm.
+
+
+pbeWithMD5AndCast5CBC OBJECT IDENTIFIER ::=
+ { algorithms pbeWithMD5AndCAST5-CBC(12) }
+
+ Parameters ::= SEQUENCE {
+ salt OCTET STRING,
+ iterationCount INTEGER, -- Total number of hash iterations
+ keyLength INTEGER -- Key length, in bits
+ }
+
+ Note: The IV is derived from the hashing procedure and therefore
+ need not be included in Parameters.
+
+ This is password-based encryption and decryption in CBC mode
+ using MD5 and the CAST-128 symmetric block cipher . See PKCS #5
+ (which uses the DES cipher) for details of the PBE computation.
+
+
+
+
+
+
+
+
+
+Adams Informational [Page 7]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
+2.7. Discussion
+
+ CAST-128 is a 12- or 16-round Feistel cipher that has a blocksize of
+ 64 bits and a keysize of up to 128 bits; it uses rotation to provide
+ intrinsic immunity to linear and differential attacks; it uses a
+ mixture of XOR, addition and subtraction (modulo 2**32) in the round
+ function; and it uses three variations of the round function itself
+ throughout the cipher. Finally, the 8x32 s-boxes used in the round
+ function each have a minimum nonlinearity of 74 and a maximum entry
+ of 2 in the difference distribution table.
+
+ This cipher appears to have cryptographic strength in accordance with
+ its keysize (128 bits) and has very good encryption / decryption
+ performance: 3.3 MBytes/sec on a 150 MHz Pentium processor.
+
+3. Intellectual Property Considerations
+
+ The CAST-128 cipher described in this document is available worldwide
+ on a royalty-free basis for commercial and non-commercial uses.
+
+4. Security Considerations
+
+ This entire memo is about security since it describes an algorithm
+ which is specifically intended for cryptographic purposes.
+
+5. References
+
+ [Adams] Adams, C., "Constructing Symmetric Ciphers using the CAST
+ Design Procedure", Designs, Codes, and Cryptography (to appear).
+
+ [Web1] "Constructing Symmetric Ciphers using the CAST Design
+ Procedure" (identical to [Adams] but available on-line) and "CAST
+ Design Procedure Addendum", http://www.entrust.com/library.htm.
+
+ [Web2] "CAST Encryption Algorithm Related Publications",
+ http://adonis.ee.queensu.ca:8000/cast/cast.html.
+
+6. Author's Address
+
+ Carlisle Adams
+ Entrust Technologies
+ 750 Heron Road,
+ Ottawa, Canada, K1V 1A7
+
+ E-mail: cadams@entrust.com
+ Phone: +1.613.763.9008
+
+
+
+
+
+Adams Informational [Page 8]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
+Appendix A. S-Boxes
+
+S-Box S1
+30fb40d4 9fa0ff0b 6beccd2f 3f258c7a 1e213f2f 9c004dd3 6003e540 cf9fc949
+bfd4af27 88bbbdb5 e2034090 98d09675 6e63a0e0 15c361d2 c2e7661d 22d4ff8e
+28683b6f c07fd059 ff2379c8 775f50e2 43c340d3 df2f8656 887ca41a a2d2bd2d
+a1c9e0d6 346c4819 61b76d87 22540f2f 2abe32e1 aa54166b 22568e3a a2d341d0
+66db40c8 a784392f 004dff2f 2db9d2de 97943fac 4a97c1d8 527644b7 b5f437a7
+b82cbaef d751d159 6ff7f0ed 5a097a1f 827b68d0 90ecf52e 22b0c054 bc8e5935
+4b6d2f7f 50bb64a2 d2664910 bee5812d b7332290 e93b159f b48ee411 4bff345d
+fd45c240 ad31973f c4f6d02e 55fc8165 d5b1caad a1ac2dae a2d4b76d c19b0c50
+882240f2 0c6e4f38 a4e4bfd7 4f5ba272 564c1d2f c59c5319 b949e354 b04669fe
+b1b6ab8a c71358dd 6385c545 110f935d 57538ad5 6a390493 e63d37e0 2a54f6b3
+3a787d5f 6276a0b5 19a6fcdf 7a42206a 29f9d4d5 f61b1891 bb72275e aa508167
+38901091 c6b505eb 84c7cb8c 2ad75a0f 874a1427 a2d1936b 2ad286af aa56d291
+d7894360 425c750d 93b39e26 187184c9 6c00b32d 73e2bb14 a0bebc3c 54623779
+64459eab 3f328b82 7718cf82 59a2cea6 04ee002e 89fe78e6 3fab0950 325ff6c2
+81383f05 6963c5c8 76cb5ad6 d49974c9 ca180dcf 380782d5 c7fa5cf6 8ac31511
+35e79e13 47da91d0 f40f9086 a7e2419e 31366241 051ef495 aa573b04 4a805d8d
+548300d0 00322a3c bf64cddf ba57a68e 75c6372b 50afd341 a7c13275 915a0bf5
+6b54bfab 2b0b1426 ab4cc9d7 449ccd82 f7fbf265 ab85c5f3 1b55db94 aad4e324
+cfa4bd3f 2deaa3e2 9e204d02 c8bd25ac eadf55b3 d5bd9e98 e31231b2 2ad5ad6c
+954329de adbe4528 d8710f69 aa51c90f aa786bf6 22513f1e aa51a79b 2ad344cc
+7b5a41f0 d37cfbad 1b069505 41ece491 b4c332e6 032268d4 c9600acc ce387e6d
+bf6bb16c 6a70fb78 0d03d9c9 d4df39de e01063da 4736f464 5ad328d8 b347cc96
+75bb0fc3 98511bfb 4ffbcc35 b58bcf6a e11f0abc bfc5fe4a a70aec10 ac39570a
+3f04442f 6188b153 e0397a2e 5727cb79 9ceb418f 1cacd68d 2ad37c96 0175cb9d
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+
+
+
+Adams Informational [Page 9]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
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+
+
+Adams Informational [Page 10]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
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+
+
+Adams Informational [Page 11]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
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+
+
+
+Adams Informational [Page 12]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
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+0c4fb99a bb325778 3ec6d97b 6e77a6a9 cb658b5c d45230c7 2bd1408b 60c03eb7
+b9068d78 a33754f4 f430c87d c8a71302 b96d8c32 ebd4e7be be8b9d2d 7979fb06
+e7225308 8b75cf77 11ef8da4 e083c858 8d6b786f 5a6317a6 fa5cf7a0 5dda0033
+f28ebfb0 f5b9c310 a0eac280 08b9767a a3d9d2b0 79d34217 021a718d 9ac6336a
+2711fd60 438050e3 069908a8 3d7fedc4 826d2bef 4eeb8476 488dcf25 36c9d566
+28e74e41 c2610aca 3d49a9cf bae3b9df b65f8de6 92aeaf64 3ac7d5e6 9ea80509
+f22b017d a4173f70 dd1e16c3 15e0d7f9 50b1b887 2b9f4fd5 625aba82 6a017962
+2ec01b9c 15488aa9 d716e740 40055a2c 93d29a22 e32dbf9a 058745b9 3453dc1e
+d699296e 496cff6f 1c9f4986 dfe2ed07 b87242d1 19de7eae 053e561a 15ad6f8c
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+9883fe66 2ec40581 763953c3 01d6692e d3a0c108 a1e7160e e4f2dfa6 693ed285
+74904698 4c2b0edd 4f757656 5d393378 a132234f 3d321c5d c3f5e194 4b269301
+c79f022f 3c997e7e 5e4f9504 3ffafbbd 76f7ad0e 296693f4 3d1fce6f c61e45be
+d3b5ab34 f72bf9b7 1b0434c0 4e72b567 5592a33d b5229301 cfd2a87f 60aeb767
+1814386b 30bcc33d 38a0c07d fd1606f2 c363519b 589dd390 5479f8e6 1cb8d647
+97fd61a9 ea7759f4 2d57539d 569a58cf e84e63ad 462e1b78 6580f87e f3817914
+91da55f4 40a230f3 d1988f35 b6e318d2 3ffa50bc 3d40f021 c3c0bdae 4958c24c
+518f36b2 84b1d370 0fedce83 878ddada f2a279c7 94e01be8 90716f4b 954b8aa3
+
+
+
+
+Adams Informational [Page 13]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
+S-Box S8
+e216300d bbddfffc a7ebdabd 35648095 7789f8b7 e6c1121b 0e241600 052ce8b5
+11a9cfb0 e5952f11 ece7990a 9386d174 2a42931c 76e38111 b12def3a 37ddddfc
+de9adeb1 0a0cc32c be197029 84a00940 bb243a0f b4d137cf b44e79f0 049eedfd
+0b15a15d 480d3168 8bbbde5a 669ded42 c7ece831 3f8f95e7 72df191b 7580330d
+94074251 5c7dcdfa abbe6d63 aa402164 b301d40a 02e7d1ca 53571dae 7a3182a2
+12a8ddec fdaa335d 176f43e8 71fb46d4 38129022 ce949ad4 b84769ad 965bd862
+82f3d055 66fb9767 15b80b4e 1d5b47a0 4cfde06f c28ec4b8 57e8726e 647a78fc
+99865d44 608bd593 6c200e03 39dc5ff6 5d0b00a3 ae63aff2 7e8bd632 70108c0c
+bbd35049 2998df04 980cf42a 9b6df491 9e7edd53 06918548 58cb7e07 3b74ef2e
+522fffb1 d24708cc 1c7e27cd a4eb215b 3cf1d2e2 19b47a38 424f7618 35856039
+9d17dee7 27eb35e6 c9aff67b 36baf5b8 09c467cd c18910b1 e11dbf7b 06cd1af8
+7170c608 2d5e3354 d4de495a 64c6d006 bcc0c62c 3dd00db3 708f8f34 77d51b42
+264f620f 24b8d2bf 15c1b79e 46a52564 f8d7e54e 3e378160 7895cda5 859c15a5
+e6459788 c37bc75f db07ba0c 0676a3ab 7f229b1e 31842e7b 24259fd7 f8bef472
+835ffcb8 6df4c1f2 96f5b195 fd0af0fc b0fe134c e2506d3d 4f9b12ea f215f225
+a223736f 9fb4c428 25d04979 34c713f8 c4618187 ea7a6e98 7cd16efc 1436876c
+f1544107 bedeee14 56e9af27 a04aa441 3cf7c899 92ecbae6 dd67016d 151682eb
+a842eedf fdba60b4 f1907b75 20e3030f 24d8c29e e139673b efa63fb8 71873054
+b6f2cf3b 9f326442 cb15a4cc b01a4504 f1e47d8d 844a1be5 bae7dfdc 42cbda70
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+77853b53 37effcb5 c5068778 e580b3e6 4e68b8f4 c5c8b37e 0d809ea2 398feb7c
+132a4f94 43b7950e 2fee7d1c 223613bd dd06caa2 37df932b c4248289 acf3ebc3
+5715f6b7 ef3478dd f267616f c148cbe4 9052815e 5e410fab b48a2465 2eda7fa4
+e87b40e4 e98ea084 5889e9e1 efd390fc dd07d35b db485694 38d7e5b2 57720101
+730edebc 5b643113 94917e4f 503c2fba 646f1282 7523d24a e0779695 f9c17a8f
+7a5b2121 d187b896 29263a4d ba510cdf 81f47c9f ad1163ed ea7b5965 1a00726e
+11403092 00da6d77 4a0cdd61 ad1f4603 605bdfb0 9eedc364 22ebe6a8 cee7d28a
+a0e736a0 5564a6b9 10853209 c7eb8f37 2de705ca 8951570f df09822b bd691a6c
+aa12e4f2 87451c0f e0f6a27a 3ada4819 4cf1764f 0d771c2b 67cdb156 350d8384
+5938fa0f 42399ef3 36997b07 0e84093d 4aa93e61 8360d87b 1fa98b0c 1149382c
+e97625a5 0614d1b7 0e25244b 0c768347 589e8d82 0d2059d1 a466bb1e f8da0a82
+04f19130 ba6e4ec0 99265164 1ee7230d 50b2ad80 eaee6801 8db2a283 ea8bf59e
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+Adams Informational [Page 14]
+
+RFC 2144 CAST-128 Encryption Algorithms May 1997
+
+
+Appendix B. Test Vectors
+
+ This appendix provides test vectors for the CAST-128 cipher described
+ this document.
+
+B.1. Single Plaintext-Key-Ciphertext Sets
+
+ In order to ensure that the algorithm is implemented correctly, the
+ following test vectors can be used for verification (values given in
+ hexadecimal notation).
+
+ 128-bit key = 01 23 45 67 12 34 56 78 23 45 67 89 34 56 78 9A
+ plaintext = 01 23 45 67 89 AB CD EF
+ ciphertext = 23 8B 4F E5 84 7E 44 B2
+
+ 80-bit key = 01 23 45 67 12 34 56 78 23 45
+ = 01 23 45 67 12 34 56 78 23 45 00 00 00 00 00 00
+ plaintext = 01 23 45 67 89 AB CD EF
+ ciphertext = EB 6A 71 1A 2C 02 27 1B
+
+ 40-bit key = 01 23 45 67 12
+ = 01 23 45 67 12 00 00 00 00 00 00 00 00 00 00 00
+ plaintext = 01 23 45 67 89 AB CD EF
+ ciphertext = 7A C8 16 D1 6E 9B 30 2E
+
+B.2. Full Maintenance Test
+
+ A maintenance test for CAST-128 has been defined to verify the
+ correctness of implementations. It is defined in pseudo-code as
+ follows, where a and b are 128-bit vectors, aL and aR are the
+ leftmost and rightmost halves of a, bL and bR are the leftmost and
+ rightmost halves of b, and encrypt(d,k) is the encryption in ECB mode
+ of block d under key k.
+
+ Initial a = 01 23 45 67 12 34 56 78 23 45 67 89 34 56 78 9A (hex)
+ Initial b = 01 23 45 67 12 34 56 78 23 45 67 89 34 56 78 9A (hex)
+
+ do 1,000,000 times
+ {
+ aL = encrypt(aL,b)
+ aR = encrypt(aR,b)
+ bL = encrypt(bL,a)
+ bR = encrypt(bR,a)
+ }
+
+Verify a == EE A9 D0 A2 49 FD 3B A6 B3 43 6F B8 9D 6D CA 92 (hex)
+Verify b == B2 C9 5E B0 0C 31 AD 71 80 AC 05 B8 E8 3D 69 6E (hex)
+
+
+
+
+Adams Informational [Page 15]
+