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

K. Bentahar, The Equivalence Between the DHP and DLP for Elliptic Curves Used in Practical Applications, Revisited. Cryptography and Coding, Springer LNCS 3796. ISBN 3-540-30276-X, pp. 376–391. November 2005. No electronic version available. External information

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. [12] 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 Maurerys method.

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