Hyper-and-elliptic-curve cryptography

被引：8
|
作者：
Bernstein, Daniel J. [1 ,2 ]
Lange, Tanja [2 ]
机构：
[1] Univ Illinois, Chicago, IL 60607 USA
[2] Tech Univ Eindhoven, NL-5600 MB Eindhoven, Netherlands
来源：
LMS JOURNAL OF COMPUTATION AND MATHEMATICS | 2014年 / 17卷
基金：
美国国家科学基金会;
关键词：
FACTORIZATION;
D O I：
10.1112/S1461157014000394
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces hyper-and-elliptic-curve cryptography, in which a single high-security group supports fast genus-2-hyperelliptic-curve formulas for variable-base-point single-scalar multiplication (for example, DiffieHellman shared-secret computation) and at the same time supports fast elliptic-curve formulas for fixed-base-point scalar multiplication (for example, key generation) and multi-scalar multiplication (for example, signature verification).
引用
收藏
页码：181 / 202
页数：22
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