Digital Signatures Out of Second-Preimage Resistant Hash Functions

  • Authors:
  • Erik Dahmen;Katsuyuki Okeya;Tsuyoshi Takagi;Camille Vuillaume

  • Affiliations:
  • Technische Universität Darmstadt,;Hitachi, Ltd., Systems Development Laboratory,;Future University, Hakodate,;Hitachi, Ltd., Systems Development Laboratory,

  • Venue:
  • PQCrypto '08 Proceedings of the 2nd International Workshop on Post-Quantum Cryptography
  • Year:
  • 2008

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Abstract

We propose a new construction for Merkle authentication trees which does not require collision resistant hash functions; in contrast with previous constructions that attempted to avoid the dependency on collision resistance, our technique enjoys provable security assuming the well-understood notion of second-preimage resistance. The resulting signature scheme is existentially unforgeable when the underlying hash function is second-preimage resistant, yields shorter signatures, and is affected neither by birthday attacks nor by the recent progresses in collision-finding algorithms.