Adaptive Security for the Additive-Sharing Based Proactive RSA

  • Authors:
  • Yair Frankel;Philip D. MacKenzie;Moti Yung

  • Affiliations:
  • -;-;-

  • Venue:
  • PKC '01 Proceedings of the 4th International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
  • Year:
  • 2001

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Abstract

Adaptive security has recently been a very active area of research. In this paper we consider how to achieve adaptive security in the additive-sharing based proactive RSA protocol (from Crypto97). This protocol is the most efficient proactive RSA protocol for a constant number of shareholders, yet it is scalable, i.e., it provides reasonable asymptotic efficiency given certain constraints on the corruption threshold. It is based on organizing the shareholders in a certain design (randomly generated, in the asymptotic case) of families of committees and establishing communications based on this organization. This structure is very different than polynomial-based proactive RSA protocols, and the techniques for achieving adaptive security for those protocols do not apply. Therefore, we develop new techniques for achieving adaptive security in the additive-sharing based proactive RSA protocol, and we present complete proofs of security.