Title: A Proactive Secret Sharing Scheme in matrix projection method

Authors: Li Bai, XuKai Zou

Addresses: Department of Electrical and Computer Engineering, Temple University, Philadelphia, PA 19122, USA. ' Department of Computer and Information Science, Indiana University-Purdue University Indianapolis, Indianapolis, IN 46202, USA

Abstract: Proactive Secret Sharing (PSS) scheme is a method to periodically renew n secret shares in a (k, n) threshold-based Secret Sharing Scheme (SSS) without modifying the secret, or reconstructing the secret to reproduce new shares. Traditionally, PSS schemes are developed for the Shamir|s SSS which is a single SSS. Bai (2006) developed a multiple-secret sharing scheme using matrix projection. This paper presents a distributed PSS method for the matrix projection SSS. Once the new shares are updated, adversaries cannot discover the secrets from k shares which are mixed with past and present shares.

Keywords: cryptography; matrix projection; Pythagorean triples; proactive secret sharing; security; secret shares; secret sharing schemes.

DOI: 10.1504/IJSN.2009.028667

International Journal of Security and Networks, 2009 Vol.4 No.4, pp.201 - 209

Published online: 22 Sep 2009 *

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