Soundness of Symbolic Equivalence for Modular Exponentiation
Identifieur interne : 005068 ( Main/Exploration ); précédent : 005067; suivant : 005069Soundness of Symbolic Equivalence for Modular Exponentiation
Auteurs : Yassine Lakhnech [France] ; Laurent Mazare [France] ; Bogdan Warinschi [France]Source :
English descriptors
Abstract
In this paper, we study the Dynamic Decisional Diffie-Hellman (3DH) problem, a powerful generalization of the Decisional Diffie-Hellman (DDH) problem. Our main result is that DDH implies 3DH. This result leads to significantly simpler proofs for protocols by relying directly on the more general problem. Our second contribution is a computationally sound symbolic technique for reasoning about protocols that use symmetric encryption and modular exponentiation. We show how to apply our results in the case of the Burmester & Desmedt protocol.
Url:
Affiliations:
- France
- Auvergne-Rhône-Alpes, Franche-Comté, Grand Est, Lorraine (région), Rhône-Alpes
- Belfort, Besançon, Grenoble, Nancy
- Institut national polytechnique de Lorraine, Université Joseph Fourier, Université Nancy 2, Université de Bourgogne Franche-Comté, Université de Franche-Comté, Université de Grenoble, Université de Lorraine, Université de technologie de Belfort-Montbéliard
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Le document en format XML
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<profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>Diffie-Hellman assumptions</term>
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<front><div type="abstract" xml:lang="en">In this paper, we study the Dynamic Decisional Diffie-Hellman (3DH) problem, a powerful generalization of the Decisional Diffie-Hellman (DDH) problem. Our main result is that DDH implies 3DH. This result leads to significantly simpler proofs for protocols by relying directly on the more general problem. Our second contribution is a computationally sound symbolic technique for reasoning about protocols that use symmetric encryption and modular exponentiation. We show how to apply our results in the case of the Burmester & Desmedt protocol.</div>
</front>
</TEI>
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<li>Université Joseph Fourier</li>
<li>Université Nancy 2</li>
<li>Université de Bourgogne Franche-Comté</li>
<li>Université de Franche-Comté</li>
<li>Université de Grenoble</li>
<li>Université de Lorraine</li>
<li>Université de technologie de Belfort-Montbéliard</li>
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<tree><country name="France"><region name="Auvergne-Rhône-Alpes"><name sortKey="Lakhnech, Yassine" sort="Lakhnech, Yassine" uniqKey="Lakhnech Y" first="Yassine" last="Lakhnech">Yassine Lakhnech</name>
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