期刊文献+

有限域GF(2^m)幂运算的一种新方法

A New Algorithm for the Exponentiation over GF(2^m) in the Limited Domain
下载PDF
导出
摘要 在有限域GF(2m)引进了开平方运算,描述了有限域GF(2m)上利用开平方求幂的一种新方法。与经典的平方-乘求幂算法相比,在只增加少量预计算的情况下,新的方法所需GF(2m)上的乘法运算少33%。 A new algorithm is proposed for the exponentiation over GF(2^m) in the limited domain. Compared with the classic square-and-multiply algorithm, the proposed algorithm is shown to save 33M multiplications over GF(2^m) in most cases with a little precomputation.
出处 《计算机工程与科学》 CSCD 2008年第4期60-61,105,共3页 Computer Engineering & Science
基金 国家863计划资助项目(2001AA141010)
关键词 有限域 平方-乘求幂 平方根 算法 finite field square-and-multiply exponentiation square root algorithm
  • 相关文献

参考文献11

  • 1Lidl R, Niederreiter H. Introduction to Finite Fields and Applications [M]. Cambridge:Cambridge University Press, 1994.
  • 2Fenn S T J, Taylor D, Benaissa M. Division Over GF(2^m)[M]. Electronics Letters, 1992,28(24) :2259-2261.
  • 3Koc C K. High-Speed RSA Implementation[EB/OL]. [2007- 09-12]. http://citeseer, ist. psu. edu/koc94highspeed. html.
  • 4Ku Kyo-Min, Ha Kyeoung Ju, Yoo Kee-Young. Time-Space Efficient Exponentiation over GF ( 2m ) [ J ]. ICCSA, 2003, (1) : 875-882.
  • 5IEEE P1363 Appendix A[EB/OL]. [2007-10-15]. http://www. grouper, org/groups/1363.
  • 6Knudsen E. Elliptic Scalar Multiplication Using Point Halving [C]//Proc of the Int'l Conf on the Theory and Applications of Crytology and Information Security: Advances in Cryptology,1999:135-149.
  • 7King B, Rubin B. Improvements to the Point Halving Algorithm[C]//Proc of ACISP'04,2004:62-276.
  • 8Reitwiesner G W. Binary Arithmetic[J]. Advanced Computers, 1960,1:232-308.
  • 9NIST. Recommended Elliptic Curves for Federal Use[EB/ OL]. [2007-09-02]. http://www.nist. gov.
  • 10Ahmadi O, Menezes A. Irreducible Polynomials of Maximum weight [ EB/OL]. [ 2007-06-26 ]. http://www. eaer. math. uwaterloo. ca/techreports/2005/cacr2005-01.pdf.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部