Complete systems of two addition laws for elliptic curves
type: Item
instance of: scholarly article
title: Complete systems of two addition laws for elliptic curves
zbMATH Open document ID: 0841.14027
author: Wieb Bosma
author: H. W. jun. Lenstra
published in: Journal of Number Theory
publication date: 1995-09-20T00:00:00Z
review text: In this paper, it is proved that the smallest cardinality of a complete system of addition laws on an elliptic curve equals two and this can only be achieved with polynomials of bidegree (2,2). The existence of such addition laws with some specific properties is also given.
reviewed by: Fei Xu
Mathematics Subject Classification ID: 14H52
Mathematics Subject Classification ID: 14H55
Mathematics Subject Classification ID: 11G05
zbMATH DE Number: 798699
zbMATH Keywords: Weierstrass form
zbMATH Keywords: addition laws on an elliptic curve
MaRDI profile type: Publication
full work available at URL: jnth.1995.1088
OpenAlex ID: W2095423754
DOI: 10.1006/JNTH.1995.1088
description: scientific article; zbMATH DE number 798699