An attack on disguised elliptic curves

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2008 English Publisher:Walter de Gruyter GmbHJournal:Journal of Mathematical Cryptology, volume 2, pages 1-8 (issn: 1862-2976, eissn: 1862-2984,

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Authors: Morales David J. Mireles;

doi: 10.1515/jmc.2008.001

An attack on disguised elliptic curves

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Abstract

Abstract We present an attack on one of the Hidden Pairing schemes proposed by Dent and Galbraith. We drastically reduce the number of variables necessary to perform a multivariate attack and in some cases we can completely recover the private key. Our attack relies only on knowledge of the public system parameters.

Keywords

Curves over finite and local fields, pairings, cryptanalysis, QA1-939, Cryptography, elliptic curves, Applications to coding theory and cryptography of arithmetic geometry, public key cryptography, Mathematics

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