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    Senior Research Fellow / David.Pointcheval@ens.fr

    ENS, Paris, France

    The Group Diffie-Hellman Problems

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    In this paper we study generalizations of the Diffie-Hellman problems recently used to construct cryptographic schemes for practical purposes. The Group Computational and the Group Decisional Diffie-Hellman assumptions not only enable one to construct efficient pseudo-random functions but also to naturally extend the Diffie-Hellman protocol to allow more than two parties to agree on a secret key. In this paper we provide results that add to our confidence in the GCDH problem. We reach this aim by showing exact relations among the GCDH, GDDH, CDH and DDH problems.

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    Description

    Title : The Group Diffie-Hellman Problems
    Author(s) : Emmanuel Bresson, Olivier Chevassut, David Pointcheval
    Abstract : In this paper we study generalizations of the Diffie-Hellman problems recently used to construct cryptographic schemes for practical purposes. The Group Computational and the Group Decisional Diffie-Hellman assumptions not only enable one to construct efficient pseudo-random functions but also to naturally extend the Diffie-Hellman protocol to allow more than two parties to agree on a secret key. In this paper we provide results that add to our confidence in the GCDH problem. We reach this aim by showing exact relations among the GCDH, GDDH, CDH and DDH problems.
    Subject : unspecified
    Area : Other
    Language : English
    Year : 2002

    Affiliations ENS, Paris, France
    Journal : 9th Annual Workshop on Selected Areas in Cryptography
    Volume : 2002
    Issue : august
    Publisher : Springer-Verlag, Berlin Germany
    Pages : 325-338
    Url : http://www.di.ens.fr/~pointche/Documents/Papers/2002_sac.pdf

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