Efficient signature schemes based on polynomial equations

  • Authors:
  • H Ong;C P Schnorr;Adi Shamir

  • Affiliations:
  • -;-;-

  • Venue:
  • Proceedings of CRYPTO 84 on Advances in cryptology
  • Year:
  • 1985

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Abstract

Signatures based on polynomial equations modulo n have been introduced by Ong, Schnorr, Shamir [3]. We extend the original binary quadratic OSS-scheme to algebraic integers. So far the generalised scheme is not vulnerable by the recent algorithm of Pollard for solving s12 + k s22 = m (mod n) which has broken the original scheme.