Efficient parallel modular exponentiation algorithm

被引:0
作者
Nedjah, N [1 ]
Mourelle, LD [1 ]
机构
[1] State Univ Rio de Janeiro, Fac Engn, Dept Syst Engn & Computat, Rio De Janeiro, Brazil
来源
ADVANCES IN INFORMATION SYSTEMS | 2002年 / 2457卷
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Modular exponentiation is fundamental to several public-key cryptography systems such as the RSA encryption system, as well as the most dominant part of the computation performed. The operation is time consuming for large operands. This paper analyses and compares the complexity of a variety of algorithms proposed to compute the modular exponentiation of a relatively large binary number, and proposes a new parallel modular exponentiation method.
引用
收藏
页码:405 / 414
页数:10
相关论文
共 13 条
[1]  
BOS J, 1990, LECT NOTES COMPUT SC, V435, P400
[2]  
DOWNEY P, 1981, SIAM J COMPUT, V3, P638
[3]  
KALISKI BS, 1993, DR DOBBS J, V50, P58
[4]  
KNUTH DE, 1981, ART PROGRAMMING SEMI, V2
[5]  
Koc Cetin Kaya, 1994, HIGH SPEED RSA IMPLE
[6]   HIGH-RADIX AND BIT RECODING TECHNIQUES FOR MODULAR EXPONENTIATION [J].
KOC, CK .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1991, 40 (3-4) :139-156
[7]   ANALYSIS OF SLIDING WINDOW TECHNIQUES FOR EXPONENTIATION [J].
KOC, CK .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 30 (10) :17-24
[8]   ADAPTIVE M-ARY SEGMENTATION AND CANONICAL RECODING ALGORITHMS FOR MULTIPLICATION OF LARGE BINARY-NUMBERS [J].
KOC, CK ;
HUNG, CY .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1992, 24 (03) :3-12
[9]  
Kunihiro N, 1998, IEICE T FUND ELECTR, VE81A, P72
[10]  
Kunihiro N, 2000, IEICE T FUND ELECTR, VE83A, P60