四川大学学报（自然科学版）2012，Vol.49Issue(1)：30-36,7.DOI:10.3969/j.issn.0490-6756.2012.01.005
特征为2的有限域上Edwards曲线的可除多项式
Division polynomials for binary Edwards curves
摘要
Abstract
In this paper the authors construct division polynomials for binary Edwards curves,which are symmetry polynomial in x and y.The main property of division polynomials is that they characterize n-torsion points of a binary Edwards curve for positive integers n.Then they generalize the same results on Edwards curves over non-binary fields and also construct an Edwards curve with a point of order 12.关键词
Edwards曲线/可除多项式/椭圆曲线密码学Key words
Edwards curve/division polynomial/elliptic curve cryptosystem分类
数理科学引用本文复制引用
彭国华,袁海波..特征为2的有限域上Edwards曲线的可除多项式[J].四川大学学报（自然科学版）,2012,49(1):30-36,7.基金项目
National Laboratory for Secure Communications(9140C1102040901) （9140C1102040901）
