%0 Journal Article
%T ElGamal Digital Signature Based on the Conic Curves over Zn<br>基于环Zn上圆锥曲线的ElGamal数字签名方案
%A YANG Hui
%A XIAO Guo-Zhen
%A <br>杨慧
%A 肖国镇
%J 计算机科学
%D 2007
%I 
%X Some basic properties of conic Cn(a,b)over the residue class ring Zn are presented. The ElGamal digital signature scheme on conic Cn(a,b) over the residue class ring Zn is designed and its numeric simulation is done. Comprehensively using the difficulties in factorizing large integer and computing discrete logarithm, the security of this digital signature scheme is increased. For the facility of plaintext embedding and the computing of rank and point on conic Cn(a,b),this scheme has the advantages of speedy operation and easy realization,especially by using the NAF.
%K Conic curve over Z
%K EIGamal digital signature scheme
%K Numeric simulation
%K NAF<br>环Zn上圆锥曲线
%K ElGamal数字签名方案
%K 数值模拟
%K 标准二进制表示
%K 圆锥曲线
%K ElGamal
%K 数字
%K 签名方案
%K Curves
%K Conic
%K Based
%K 运算速度
%K 算法
%K 群元素的整数倍
%K 标准二进制
%K 比较
%K 的嵌入
%K 安全性
%K 增强
%K 离散对数问题
%K 计算
%K 有限群
%K 困难性
%K 大数分解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=64A12D73428C8B8DBFB978D04DFEB3C1&aid=CD3070D31C9A1015EC15A3A14A3419E8&yid=A732AF04DDA03BB3&vid=339D79302DF62549&iid=B31275AF3241DB2D&sid=10F298ED9F164662&eid=8C83C265AD318E34&journal_id=1002-137X&journal_name=计算机科学&referenced_num=0&reference_num=10