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Collision Resistance of Double-Block-Length Hash Function against Free-Start Attack

Shoichi HIROSE

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Summary :

In this article, we discuss the security of double-block-length (DBL) hash functions against the free-start collision attack. We focus on the DBL hash functions composed of compression functions of the form F(x) = (f(x), f(p(x))), where f is a smaller compression function and p is a permutation. We first show, in the random oracle model, that a significantly good upper bound can be obtained on the success probability of the free-start collision attack with sufficient conditions on p and the set of initial values. We also show that a similar upper bound can be obtained in the ideal cipher model if f is composed of a block cipher.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.1 pp.74-82
Publication Date
2008/01/01
Publicized
Online ISSN
1745-1337
DOI
10.1093/ietfec/e91-a.1.74
Type of Manuscript
Special Section PAPER (Special Section on Cryptography and Information Security)
Category
Hash Functions

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