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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… Expand
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
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
  • D. Cox
  • Am. Math. Mon.
  • 2011
  • Corpus ID: 15978494
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
  • table 1
  • table 2
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