Advances in Cryptology — EUROCRYPT ’91: Workshop on the - download pdf or read online

By Eli Biham, Adi Shamir (auth.), Donald W. Davies (eds.)

ISBN-10: 3540464166

ISBN-13: 9783540464167

ISBN-10: 3540546200

ISBN-13: 9783540546207

This court cases quantity includes revised models of papers provided at an open workshop on smooth cryptology held in Brighton, united kingdom, April 1991. The workshop used to be the most recent in a sequence of workshops on cryptology which begun in Santa Barbara in 1981 and used to be via a ecu counterpart in 1982. Following the culture of the sequence, papers have been invited within the type of prolonged abstracts and have been reviewed by means of the programme committee, which chosen these to be offered. After the assembly, the complete papers have been produced which shape the most a part of the amount. The papers are geared up into sections on cryptanalysis, 0 wisdom and oblivious move, sequences, signatures, thought, S-box standards, functions, and public key cryptography, and a bit containing brief "rump consultation" papers.

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Extra info for Advances in Cryptology — EUROCRYPT ’91: Workshop on the Theory and Application of Cryptographic Techniques Brighton, UK, April 8–11, 1991 Proceedings

Example text

J a and Definition. An iterated cipher with round function Y = f(X, Z ) is a Markov cipher if there is a group operation @ for defining differences such that, for all choices of a (a# e ) and P ( P # e), P(AY = @ ( A X= a , X = 7) is independent of 7 when the subkey 2 is uniformly random, or, equivalently, if P(AY = PlAX = a , X = 7) = P ( A Y ( 1 )= PllAX = a ) for all choices of 7 when the subkey Z is uniformly random. The following crucial theorem explains the terminology 'Markov cipher". Theorem 2.

The notion of the other 16-bit subblocks within the MA-box are defined in Figure 5 . Suppose further that pl + p2 = 1 (mod 216), 22 = 1 (mod 216). q1 + q2 = 0 (mod 216). 32 b a C d > one round I @ : bit-by-bit exclusive-OR of 16-bit subblocks @ : addition modulo of 16-bit integers 16-bit integers with the zero subblock corresponding to 216 216 0 : multiplication modulo 216 + 1 of Figure 5: The first round of PES and the notation used for differential cryptanalysis Then bp = 0, so br = 0 and hence r1 S I + s2 = (rl H q1) + (r2 + r2 = 1 (mod 216).

Differential cryptanalysis exploits the fact that the round function f in an iterated cipher is usually cryptographically weak. Thus, if the ciphertext pair is known and the difference of the pair of inputs to the last round can somehow be obtained, then it is possible to determine (some substantial part of) the subkey of the last round. In differential cryptanalysis, this is achieved by choosing plaintext pairs ( X ,X') with a specified difference a such that the difference AY(r - 1) of the pair of inputs to the last round will take on a particular value p with high probability.

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Advances in Cryptology — EUROCRYPT ’91: Workshop on the Theory and Application of Cryptographic Techniques Brighton, UK, April 8–11, 1991 Proceedings by Eli Biham, Adi Shamir (auth.), Donald W. Davies (eds.)


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