[Resource Topic] 2009/145: Security of Permutation-based Compression Function lp 231

Welcome to the resource topic for 2009/145

Title:
Security of Permutation-based Compression Function lp 231

Authors: Jooyoung Lee, Daesung Kwon

Abstract:

In this paper, we study security of a certain class of permutation-based compression functions. Denoted lp 231 by Rogaway and Steinberger, they are 2n-to-n-bit compression functions using three calls to a single n-bit random permutation. We prove that lp 231 is asymptotically preimage resistant up to 2^{2n/3}/n query complexity and collision resistant up to 2^{n/2}/n^{1+e} query complexity for any e>0. Based on a single permutation, lp 231 provides both efficiency and almost optimal collision security.

ePrint: https://eprint.iacr.org/2009/145

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