International Association for Cryptologic Research

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The Encrypted Elliptic Curve Hash

Authors:
Daniel R. L. Brown
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URL: http://eprint.iacr.org/2008/012
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Abstract: Bellare and Micciancio's MuHASH applies a pre-existing hash function to map indexed message blocks into a secure group. The resulting hash is the product. Bellare and Micciancio proved, in the random oracle model, that MuHASH is collision-resistant if the group's discrete logarithm problem is infeasible. MuHASH, however, relies on a pre-existing hash being collision resistant. In this paper, we remove such a reliance by replacing the pre-existing hash with a block cipher under a fixed key. We adapt Bellare and Micciancio's collision-resistance proof to the ideal cipher model. Preimage resistance requires us to add a further modification.
BibTeX
@misc{eprint-2008-17689,
  title={The Encrypted Elliptic Curve Hash},
  booktitle={IACR Eprint archive},
  keywords={secret-key cryptography / Hash function, collision resistance},
  url={http://eprint.iacr.org/2008/012},
  note={ dbrown@certicom.com 13998 received 7 Jan 2008, last revised 29 Apr 2008},
  author={Daniel R. L. Brown},
  year=2008
}