A Collision-Resistant Rate-1 Double-Block-Length Hash Function

Author Stefan Lucks



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Stefan Lucks

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Stefan Lucks. A Collision-Resistant Rate-1 Double-Block-Length Hash Function. In Symmetric Cryptography. Dagstuhl Seminar Proceedings, Volume 7021, pp. 1-14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007) https://doi.org/10.4230/DagSemProc.07021.3

Abstract

This paper proposes a construction for collision resistant 
  $2n$-bit hash functions, based 
  on $n$-bit block ciphers with $2n$-bit keys. The construction is analysed 
  in the ideal cipher model; for $n=128$ an adversary would need roughly 
  $2^{122}$ units of time to find a collision. 
  The construction employs ``combinatorial'' hashing 
  as an underlying building block (like 
  Universal Hashing for cryptographic
  message authentication by Wegman and Carter). 
  The construction runs at rate~1, thus improving on a similar 
  rate~1/2 approach by Hirose (FSE 2006).

Subject Classification

Keywords
  • Hash function
  • provable security
  • double-block-length

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