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New Model of Binary Elliptic Curve

In our paper paper we propose a new binary elliptic curve of the form a[x^2 + y^2 + xy + 1] + (a + b)[x^2y + y^2x] = 0. If m ? 5 we prove that each ordinary elliptic curve y^2 + xy = x^3 +?x^2 +?, ? different of zero over F_(2^m) , is birationally equivalent over F_(2^m) to our curve. This paper also presents the formulas for the group law.


Auteur(s) : Demba SOW, Djiby SOW
Pages : 34 à 42
Année de publication : 2012
Revue : Journal of Mathematics Research
N° de volume : 4
Type : Article
Mise en ligne par : SOW Demba