Finding invalid signatures in pairing-based batches

  • Authors:
  • Laurie Law;Brian J. Matt

  • Affiliations:
  • National Security Agency, Fort Meade, MD;JHU, Applied Physics Laboratory, Laurel, MD

  • Venue:
  • Cryptography and Coding'07 Proceedings of the 11th IMA international conference on Cryptography and coding
  • Year:
  • 2007

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Abstract

This paper describes efficient methods for finding invalid digital signatures after a batch verification has failed. We present an improvement to the basic binary "divide-and-conquer" method, which can identify an invalid signature in half the time. We also present new, efficient methods for finding invalid signatures in some pairing-based batches with low numbers of invalid signatures. We specify these methods for the Cha-Cheon signature scheme of [5]. These new methods offer significant speedups for Cha-Cheon batches as well as other pairing-based signature schemes.