A common-multiplicand method to the Montgomery algorithm for speeding up exponentiation

被引:31
|
作者
Ha, JC
Moon, SJ [1 ]
机构
[1] Kyungpook Natl Univ, Sch Elect & Elect Engn, Taegu 702701, South Korea
[2] Korea Nazarene Univ, Dept Comp & Informat, Chonan 330090, Choongnam, South Korea
关键词
public key cryptosystem; fast exponentiation; modular arithmetic; common-multiplicand multiplication; cryptography;
D O I
10.1016/S0020-0190(98)00031-3
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A common-multiplicand method to the Montgomery algorithm makes an improvement in speed when right-to-left binary exponentiation is applied. The idea is that the same common part in two modular multiplications can be computed once rather than twice. It reduces the overall number of single-precision multiplications by about 16%, compared to exponentiation with the Montgomery algorithm. (C) 1998 Elsevier Science B.V.
引用
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页码:105 / 107
页数:3
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