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    ENS, Paris, France

    The Gap-Problems: A New Class of Problems for the Security of Cryptographic Schemes

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    This paper introduces a novel class of computational problems, the gap problems, which can be considered as a dual to the class of the decision problems. We show the relationship among inverting problems, decision problems and gap problems. These problems find a nice and rich practical instantiation with the Diffie-Hellman problems. Then, we see how the gap problems find natural applications in cryptography, namely for proving the security of very efficient schemes, but also for solving a more than 10-year old open security problem: the Chaum's undeniable signature.

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    Description

    Title : The Gap-Problems: A New Class of Problems for the Security of Cryptographic Schemes
    Author(s) : Tatsuaki Okamoto, David Pointcheval
    Abstract : This paper introduces a novel class of computational problems, the gap problems, which can be considered as a dual to the class of the decision problems. We show the relationship among inverting problems, decision problems and gap problems. These problems find a nice and rich practical instantiation with the Diffie-Hellman problems. Then, we see how the gap problems find natural applications in cryptography, namely for proving the security of very efficient schemes, but also for solving a more than 10-year old open security problem: the Chaum's undeniable signature.
    Subject : unspecified
    Area : Other
    Language : English
    Year : 2001

    Affiliations ENS, Paris, France
    Editors : Kwangjo Kim
    Conference_title : Security
    Volume : 1992
    Publisher : Springer Berlin / Heidelberg
    Pages : 104-118
    Url : http://dx.doi.org/10.1007/3-540-44586-2_8

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