## Cryptology ePrint Archive: Report 2005/230

Yet Another Short Signatures Without Random Oracles from Bilinear Pairings

Fangguo Zhang and Xiaofeng Chen

Abstract: In recent years, cryptographic protocols based on the bilinear pairings have attracted much attention. One of the most distinguished achievements in this area was the solution to design short signatures. Up to now, there exist two short signature schemes with random oracles and one without random oracles from bilinear pairings. In this paper, we describe another short signature scheme which is existentially unforgeable under a chosen message attack without using random oracles. The security of our scheme depends on a new complexity assumption we call the $k$+1 square roots assumption. We discuss the relationship between the $k$+1 square roots assumption and some related problems and give some conjectures. Further more, the $k$+1 square roots assumption gives even shorter signatures under the random oracles.

Category / Keywords: public-key cryptography / Short signature, Bilinear pairings, Standard model, Random oracle

Date: received 15 Jul 2005, withdrawn 5 Aug 2005

Contact author: isdzhfg at zsu edu cn

Available format(s): (-- withdrawn --)

Short URL: ia.cr/2005/230

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