Homomorphisms of secret sharing schemes: a tool for verifiable signature sharing

  • Authors:
  • Mike Burmester

  • Affiliations:
  • Information Security Group, Department of Mathematics, Royal Holloway - University of London, Surrey, UK

  • Venue:
  • EUROCRYPT'96 Proceedings of the 15th annual international conference on Theory and application of cryptographic techniques
  • Year:
  • 1996

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Abstract

Franklin and Reiter introduced at Eurocrypt '95 verifiable signature sharing, a primitive for a fault tolerant distribution of signature verification. They proposed various practical protocols. For RSA signatures with exponent e = 3 and n processors their protocol allows for up to (n - 1)/5 faulty processors (in general (n - 1)/(2 + e)). We consider a new unifying approach which uses homomorphisms of secret sharing schemes, and present a verifiable signature sharing scheme for which as many as (n - 1)/3 processors can be faulty (for any value of e), and for which the number of interactions is reduced.