Syndrome Based Collision Resistant Hashing
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Hash functions are a hot topic at the moment in cryptography. Many proposals are going to be made for SHA-3, and among them, some provably collision resistant hash functions might also be proposed. These do not really compete with “standard” designs as they are usually much slower and not well suited for constrained environments. However, they present an interesting alternative when speed is not the main objective. As always when dealing with provable security, hard problems are involved, and the fast syndrome-based cryptographic hash function proposed by Augot, Finiasz and Sendrier at Mycrypt 2005 relies on the problem of Syndrome Decoding, a well known “Post Quantum” problem from coding theory. In this article we review the different variants and attacks against it so as to clearly point out which choices are secure and which are not.
Keywordshash functions syndrome decoding provable security
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