Download Advances in Cryptology — EUROCRYPT 2003: International by Antoine Joux (auth.), Eli Biham (eds.) PDF

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

This booklet constitutes the refereed court cases of the foreign convention at the conception and purposes of Cryptographic strategies, EUROCRYPT 2003, held in Warsaw, Poland in might 2003.

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

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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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Extra info 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

Indeed, as outlined in Section §2, likelihood ratio tests are optimal for testing a simple versus a simple hypothesis. g. one tests a probability distribution depending of a parameter θ ∈ ω0 against θ ∈ ω1 where ω0 and ω1 are disjoint subsets of possible parameters). Such tests are not generally optimal, but they are typically non-optimal in situations for which no optimal test exists, and they usually perform reasonably well. It is well-known (see for instance [26]) that Pearson’s χ2 statistic and a generalized likelihood-ratio test for a multinomial distribution are asymptotically equivalent.

In the description we use the following notation: the linear mappings L1 and L2 will be denoted by A and B −1 respectively. The sets CA , CB are the sets of checked points for which the mapping (A or B respectively) is known. By construction, these sets will also contain all the linear combinations of known points. The sets UA , UB are the sets of yet unknown points. The sets NA , NB describe all the new points for which we know the mapping (either A or B, respectively), but which are linearly independent from points of CA or CB , respectively.

In this paper, we decide to define it as follows: if all S-boxes in a linear equivalence class are ordered lexicographically according to their lookup tables, then the smallest is called the representative of the class. With this order the smallest permutation is the identity, and for example, permutation [0, 1, 3, 4, 7, 2, 6, 5] is smaller than the permutation [0, 2, 1, 6, 7, 4, 3, 5]. In order to construct the representative RS for the linear class containing a given S-box S, we use an algorithm that is based on the same principles as the algorithm in Sect.

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