A note on window τ-NAF algorithm

被引:20
作者
Blake, IF [1 ]
Murty, VK
Xu, GW
机构
[1] Univ Toronto, Dept Elect & Comp Engn, Toronto, ON M5S 3G4, Canada
[2] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada
[3] Univ Wisconsin, Dept Elect Engn & Comp Sci, Milwaukee, WI 53211 USA
关键词
cryptography; algorithms; elliptic curves;
D O I
10.1016/j.ipl.2005.05.013
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The window tau-adic algorithm of Solinas [Efficient arithmetic on Koblitz curves, Designs, Codes and Cryptography 19 (2000) 195] is the most powerful method for computing point multiplication for Koblitz curves. In this note, the existence of a more general window tau-adic form for each element in Z[tau] is obtained. In particular, this provides a proof of the termination of Solinas algorithm. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:496 / 502
页数:7
相关论文
共 6 条
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  • [4] MEIER W, 1993, LNCS, V740, P333
  • [5] MILLER V, 1992, LECT NOTES COMPUT SC, V218, P417
  • [6] Efficient arithmetic on Koblitz curves
    Solinas, JA
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2000, 19 (2-3) : 195 - 249