[Resource Topic] 2007/239: Making Large Hash Functions From Small Compression Functions

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Title:
Making Large Hash Functions From Small Compression Functions

Authors: William R. Speirs, Ian Molloy

Abstract:

We explore the idea of creating a hash function that produces an s-bit digest from a compression function with an n-bit output, where s > n. % where s\le 2^{n/2}n.This is accomplished by truncating a hash function with a digest size of \ell n-bits. Our work answers the question of how large \ell can be while creating a digest of sn-bits securely. We prove that our construction is secure with respect to preimage resistance and collision resistance for s \le 2^{n/2}n.

ePrint: https://eprint.iacr.org/2007/239

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