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Discrete Logarithms in Generalized Jacobians

Abstract : Déchène has proposed generalized Jacobians as a source of groups for public-key cryptosystems based on the hardness of the Discrete Logarithm Problem (DLP). Her specific proposal gives rise to a group isomorphic to the semidirect product of an elliptic curve and a multiplicative group of a finite field. We explain why her proposal has no advantages over simply taking the direct product of groups. We then argue that generalized Jacobians offer poorer security and efficiency than standard Jacobians.
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https://hal.inria.fr/inria-00537887
Contributor : Benjamin Smith <>
Submitted on : Friday, November 19, 2010 - 3:56:40 PM
Last modification on : Wednesday, July 27, 2016 - 2:48:48 PM

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S. D. Galbraith, Benjamin Smith. Discrete Logarithms in Generalized Jacobians. 2006. ⟨inria-00537887⟩

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