Cryptology ePrint Archive: Report 2002/038

A Distributed RSA Signature Scheme for General Access Structures

Javier Herranz and Carles Padr\'o and Germ\'an S\'aez

Abstract: In a distributed digital signature scheme, a set of participants shares a secret information that allows them to compute a valid signature for a given message. These systems are said to be robust if they can tolerate the presence of some dishonest players.

Up to now, all the proposed schemes consider only threshold structures: the tolerated subsets of corrupted players as well as the subsets of players who can sign a message are defined according to their cardinality.

We propose a framework that is more general than the threshold one, considering a general access structure of players allowed to sign and a general family of dishonest players that the scheme can tolerate. If these general structures satisfy some combinatorial conditions, we can design a distributed and secure RSA signature scheme for this setting. Our construction is based on the threshold scheme of Shoup.

Category / Keywords: cryptographic protocols / Distributed digital signatures, RSA signatures, secret sharing schemes

Date: received 22 Mar 2002, withdrawn 11 Apr 2002

Contact author: jherranz at mat upc es

Available format(s): (-- withdrawn --)

Version: 20020411:091112 (All versions of this report)

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