Cryptology ePrint Archive: Report 2005/307

The Equivalence Between the DHP and DLP for Elliptic Curves Used in Practical Applications, Revisited

K. Bentahar

Abstract: The theoretical equivalence between the DLP and DHP problems was shown by Maurer in 1994. His work was then reexamined by Muzereau et al. for the special case of elliptic curves used in practical cryptographic applications. This paper improves on the latter and tries to get the tightest possible reduction in terms of computational equivalence, using Maurer's method.

Category / Keywords: public-key cryptography / DHP-DLP equivalence. Elliptic Curve Cryptosystems.

Publication Info: Full version. Extended Abstract will appear in the "10th IMA International Conference on Cryptography and Coding" proceedings (Cirencester, UK)

Date: received 2 Sep 2005, last revised 4 Sep 2005

Contact author: bentahar at cs bris ac uk

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Version: 20050912:115228 (All versions of this report)

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