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

页码：181 / 202

页数：22