Provably secure double-block-length hash functions in a black-box model

  • Authors:
  • Shoichi Hirose

  • Affiliations:
  • Graduate School of Informatics, Kyoto University, Kyoto, Japan

  • Venue:
  • ICISC'04 Proceedings of the 7th international conference on Information Security and Cryptology
  • Year:
  • 2004

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Abstract

In CRYPTO’89, Merkle presented three double-block-length hash functions based on DES. They are optimally collision resistant in a black-box model, that is, the time complexity of any collision-finding algorithm for them is Ω(2ℓ/2) if DES is a random block cipher, where ℓ is the output length. Their drawback is that their rates are low. In this article, new double-block-length hash functions with higher rates are presented which are also optimally collision resistant in the black-box model. They are composed of block ciphers whose key length is twice larger than their block length.