Efficient Signature Schemes with Tight Reductions to the Diffie-Hellman Problems*

20 Pages Posted: 9 Jul 2008

See all articles by Eu-Jin Goh

Eu-Jin Goh

affiliation not provided to SSRN

Stanis law Jarecki

affiliation not provided to SSRN

Jonathan Katz

University of Maryland Department of Computer Science

NAN WANG

affiliation not provided to SSRN

Abstract

We propose and analyze two efficient signature schemes whose security is tightly related to the Diffie-Hellman problems in the random oracle model. Security of our first scheme relies on the hardness of the computational Diffie-Hellman problem; security of our second scheme | which is more efficient than the first | is based on the hardness of the decisional Diffie-Hellman problem, a stronger assumption.

Given current state of the art, it is as difficult to solve the Diffie-Hellman problems as it is to solve the discrete logarithm problem in many groups of cryptographic interest. Thus, the signature schemes shown here can currently over substantially better efficiency (for a given level of provable security) than existing schemes based on the discrete logarithm assumption.

The techniques we introduce can be also applied in a wide variety of settings to yield more efficient cryptographic schemes (based on various number-theoretic assumptions) with tight security reductions.

Suggested Citation

Goh, Eu-Jin and Jarecki, Stanis law and Katz, Jonathan and WANG, NAN, Efficient Signature Schemes with Tight Reductions to the Diffie-Hellman Problems*. Available at SSRN: https://ssrn.com/abstract=1157406 or http://dx.doi.org/10.2139/ssrn.1157406

Eu-Jin Goh

affiliation not provided to SSRN

Stanis law Jarecki

affiliation not provided to SSRN

Jonathan Katz (Contact Author)

University of Maryland Department of Computer Science ( email )

College Park
College Park, MD 20742
United States

NAN WANG

affiliation not provided to SSRN

Do you have negative results from your research you’d like to share?

Paper statistics

Downloads
45
Abstract Views
528
PlumX Metrics