Security of permutation-based compression function lp231

  • Authors:
  • Jooyoung Lee;Daesung Kwon

  • Affiliations:
  • Sejong University, Seoul, Republic of Korea;The Attached Institute of Electronics and Telecommunications Research Institute, Daejeon, Republic of Korea

  • Venue:
  • Information Processing Letters
  • Year:
  • 2014

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Abstract

In this paper, we study security of a certain class of permutation-based compression functions. Denoted by lp231 in [10], they are 2n-to-n-bit compression functions using three calls to a single n-bit random permutation. We prove that lp231 is asymptotically preimage resistant up to 2^2^n^3/n query complexity and collision resistant up to 2^n^2/n^1^+^@e query complexity for any @e0. Based on a single permutation, lp231 provides both efficiency and almost optimal collision security.