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2015

2015

Let $A$ be an abelian variety of dimension $g$ together with a principal polarization $\phi: A \rightarrow \hat{A}$ defined over… Expand

2012

2012

On the Analogue of the Division Polynomials for Hyperelliptic Curves

2011

2011

Abstract This article explores the history of the Eisenstein irreducibility criterion and explains how Theodor Schönemann… Expand

2011

2011

This paper presents two kinds of division polynomials for twisted Edwards curves. Their chief property is that they characterise… Expand

2006

2006

In this report I sanitise (in the sense of ‘bring some sanity to’) the arguments of earlier reports detailing the correspondence… Expand

2004

2004

The choice of an elliptic curve for the implementation of an elliptic curve cryp- tosystem requires counting the number of points… Expand

2004

2004

Let $E$ be an elliptic curve with complex multiplication by the ring $O_{F}$ of integers of an imaginary quadratic field $F$. We… Expand

2000

2000

L'etude algorithmique des courbes hyperelliptiques est la suite naturelle de celle des courbes elliptiques qui est maintenant… Expand

1994

1994

Recurrence relations for the coefficients of the nth division polynomial for elliptic curves are presented. These provide an… Expand

1993

1993

In this paper we show that there exist infinite words generated by a periodic application of a finite number of morphisms such… Expand