A Complete Set of Addition Laws for Twisted Jacobi Intersection Curves

作     者：WU Hongfeng FENG Rongquan 

作者机构：College of Sciences North China University of TechnologyBeijing 100144 China School of Mathematical Sciences and Laboratory ofMathematics and Applied Mathematics (LMAM) Peking UniversityBeijing 100871 China 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2011年第16卷第5期

页      面：435-438页

学科分类：07[理学] 0839[工学-网络空间安全] 08[工学] 0701[理学-数学] 081201[工学-计算机系统结构] 070101[理学-基础数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Supported by the National Natural Science Foundation of China (10990011) the Science Research Startup Foundation of North China University of Technology 

主　　题：elliptic curve twisted Jacobi intersection curve complete addition law point multiplication cryptography 

摘      要：A complete system of addition laws on an elliptic curve E is a collection of addition laws with the property that for any pair of points P1, P2 on E at least one of the addition laws in the collection can be used to compute P1＋P2. This paper proposes a complete set of the addition laws for arbitrary twisted Jacobi intersection curve.