By Antoine Joux (auth.), Eli Biham (eds.)
This publication constitutes the refereed lawsuits of the foreign convention at the concept and purposes of Cryptographic innovations, EUROCRYPT 2003, held in Warsaw, Poland in may possibly 2003.
The 37 revised complete papers offered including invited papers have been conscientiously reviewed and chosen from 156 submissions. The papers are equipped in topical sections on cryptanalysis, safe multi-party conversation, zero-knowledge protocols, foundations and complexity-theoretic defense, public key encryption, new primitives, elliptic curve cryptography, electronic signatures, information-theoretic cryptography, and team signatures.
Read or Download Advances in Cryptology — EUROCRYPT 2003: International Conference on the Theory and Applications of Cryptographic Techniques, Warsaw, Poland, May 4–8, 2003 Proceedings PDF
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Additional info for Advances in Cryptology — EUROCRYPT 2003: International Conference on the Theory and Applications of Cryptographic Techniques, Warsaw, Poland, May 4–8, 2003 Proceedings
The static decision rule is given by Output “key parity = 0” if Sn ≥ Output “key parity = 1” if Sn < n 2 n 2 (22) With 2800 known pairs at disposal, the static rule is successful in 97% of the cases. 30 P. 025, Wald’s approximation gives τup = 48 and τdown = 48 . The sequential rule is then deﬁned by log τup n 1+2 Output “key parity = 1” if Sn ≤ 2 − 2 log( 1−2 ) log τdown n (23) Output “key parity = 0” if Sn ≥ 2 + 2 log 1−2 ( 1+2 ) Query another sample, otherwise. 01907. We repeated this experiment 1’000’000 times for 5 diﬀerent keys and got the following results: Exp.
In Sect. 5 we discuss self-equivalences found in S-boxes of various ciphers and corresponding equivalent representations of AES, DES, Camellia, Serpent, Misty, Kasumi and Khazad. In Sect. 6 we apply our algorithms to a generalized EvenMansour scheme. Sect. 7 provides a few results on the S-box decomposition problem. Finally Sect. 8 summarizes the paper. 2 The Linear Equivalence Algorithm (LE) In this section we provide an eﬃcient algorithm for solving the linear equivalence problem for n × n-bit S-boxes.
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 . Then one can extract L2 −1 from the equation: L2 = S2 ◦ L−1 1 ◦ S1 , and check if it is a linear, invertible 2 mapping. There are O(2n ) choices of invertible linear mappings over n-bit vectors. For each guess one will need about n3 steps to check for linearity and invertibility using Gaussian elimination. 376 ). However, for n ≤ 32, which is of main practical interest, we can use 32-bit processor instructions to bring the complexity to n2 steps.