The Weil Descent Attack on Elliptic Curve over a Finite Field of Characteristic Two

The Weil Descent Attack on Elliptic Curve over a Finite Field of Characteristic Two

In this paper we look at the curves which arise in the method of Galbraith and Smart([5,7]) for producing curves in the Weil restriction of an elliptic curve over a finite field of characteristic two. And we consider the Jacobian of a genus g＞1 curve C over a finite field F_q" where q is a prime or a power of a prime and where n＞1.

Abstract

1.Introduction

2.Curve

3.Weil Descent Attack

4.Examples

5.Conclusion

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