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Introduction to Generalized Edwards Form Hyperelliptic Curves

Edwards curves, introduced in 2007 by Harold Edwards, has been widely studied for cryptography applications by many authors. This paper introduces a kind of Generalized Edwards Twisted Curves and Generalized Binary Edwards Curves which are birationally equivalent to some hyperelliptic curves of genus 2. Two different versions are proposed for the generalization of the binary Edwards form elliptic curve in order to have binary form hyperelliptic curves of genus 2.

Auteur(s) : Ahmed Youssef Ould Cheikh, Ismaila Diouf, Demba Sow
Pages : 973 à 985
Année de publication : 2013
Revue : International Journal of Algebra
N° de volume : 7
Type : Article
Mise en ligne par : SOW Demba