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Division polynomials

Known as: Division polynomial 
In mathematics the division polynomials provide a way to calculate multiples of points on elliptic curves and to study the fields generated by… 
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Papers overview

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2018
2018
The isogeny-based cryptosystem is the most recent category in the field of postquantum cryptography. However, it is widely… 
2015
2015
Dans cette these, nous etudions les problemes de la factorisation d'entier et de calcul de logarithme discret dans les corps… 
2014
2014
Let $A$ be an abelian variety of dimension $g$ together with a principal polarization $\phi: A \rightarrow \hat{A}$ defined over… 
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… 
2004
2004
The choice of an elliptic curve for the implementation of an elliptic curve cryp- tosystem requires counting the number of points… 
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… 
2000
2000
L'etude algorithmique des courbes hyperelliptiques est la suite naturelle de celle des courbes elliptiques qui est maintenant… 
1994
1994
Recurrence relations for the coefficients of the nth division polynomial for elliptic curves are presented. These provide an… 
1993
1993
In this paper we show that there exist infinite words generated by a periodic application of a finite number of morphisms such…