### Fast Digital Signature Schemes as Secure as Diffie-Hellman Assumptions

Changshe Ma, Jian Weng, and Dong Zheng

##### Abstract

This paper presents two fast digital signature schemes based on Diffie-Hellman assumptions. In the random oracle model, the first scheme S1 has a tight security reduction to the computational Diffie-Hellman (CDH) problem; and the second scheme S2 has a tight security reduction to the decisional Diffie-Hellman (DDH) problem. Comparing with existing signature schemes (whose security is tightly related to CDH problem) like EDL signature schemes, the signature generation of S1 is about 27% faster, and the verification is about 35% faster, if without considering the hash function evaluations. Comparing with existing signature schemes (whose security is tightly related to DDH problem) like KW-DDH signature scheme, the signing of S2 is about 40% faster and the verification is about 35% faster. The high efficiency of the proposed schemes is attributed to a new protocol EDL_mwz which implements the proof of equality of discrete logarithm. The EDL_mwz protocol outperforms its counterpart, the Chaum and Pedersen protocol, as its computation is about 38% faster and its bandwidth is |G| bits shorter. This new protocol may be of independent interests.

Available format(s)
Category
Public-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Keywords
Public-key cryptographysignature schemesdiscrete logarithm problemDiffie-Hellman problemtight reduction
Contact author(s)
changshema @ gmail com
History
Short URL
https://ia.cr/2007/019

CC BY

BibTeX

@misc{cryptoeprint:2007/019,
author = {Changshe Ma and Jian Weng and Dong Zheng},
title = {Fast Digital Signature Schemes as Secure as Diffie-Hellman Assumptions},
howpublished = {Cryptology ePrint Archive, Paper 2007/019},
year = {2007},
note = {\url{https://eprint.iacr.org/2007/019}},
url = {https://eprint.iacr.org/2007/019}
}

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