New PDF release: Advances in Cryptology — EUROCRYPT 2003: International

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By Antoine Joux (auth.), Eli Biham (eds.)

ISBN-10: 3540140395

ISBN-13: 9783540140399

ISBN-10: 3540392009

ISBN-13: 9783540392002

This e-book constitutes the refereed court cases of the foreign convention at the thought and purposes of Cryptographic suggestions, EUROCRYPT 2003, held in Warsaw, Poland in may possibly 2003.

The 37 revised complete papers offered including invited papers have been rigorously reviewed and chosen from 156 submissions. The papers are equipped in topical sections on cryptanalysis, safe multi-party communique, zero-knowledge protocols, foundations and complexity-theoretic safeguard, public key encryption, new primitives, elliptic curve cryptography, electronic signatures, information-theoretic cryptography, and team signatures.

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Extra resources for Advances in Cryptology — EUROCRYPT 2003: International Conference on the Theory and Applications of Cryptographic Techniques, Warsaw, Poland, May 4–8, 2003 Proceedings

Example text

Note that the algorithm in this section is very similar to the “to and fro” algorithm used to solve the polynomial isomorphism problem for systems of quadratic equations in [23]. This fact was pointed out to us by an anonymous referee. Let us consider the problem of checking linear equivalence between two permutations (S-boxes) S1 and S2 . The problem is to find two invertible linear mappings L1 and L2 , such that L2 ◦ S1 ◦ L1 = S2 . A naive approach would be to guess one of the mappings, for example L1 .

Yi ) ∈ Bi then 9: Output 1 and stop. 1 Sequential Statistical Inference We describe now formally the sequential decision procedure behind Algorithm 5. Let D be the set of possible decisions. Definition 2 (Sequential decision procedure). Let X1 , X2 , . . be random variables observed sequentially. A sequential decision procedure consists in: 1. a stopping rule σn which specifies whether a decision must be taken without taking any further observation. If at least one observation is taken, this rule specifies for every set of observed values (x1 , .

Such representations help to describe ciphers with simpler systems of low-degree equations, allow more efficient implementations, and are very useful in the design of countermeasures against side-channel attacks. These problems show that it is essential to have a toolbox of generic algebraic algorithms for the analysis and design of block ciphers. This paper makes one step in this direction. , if there exist (linear or affine) mappings A1 , A2 such that A2 ◦S1 ◦ A1 = S2 . The complexity of our linear equivalence algorithm (LE) is O(n3 2n ), and the affine equivalence algorithm (AE) has complexity O(n3 22n ).

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Advances in Cryptology — EUROCRYPT 2003: International Conference on the Theory and Applications of Cryptographic Techniques, Warsaw, Poland, May 4–8, 2003 Proceedings by Antoine Joux (auth.), Eli Biham (eds.)


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