期刊文献+

有限域上最优正规基的乘法表 被引量:8

On Multiplication Tables of Optimal Normal Bases over Finite Fields
原文传递
导出
摘要 本文给出了有限域上最优正规基乘法表的一个计算方法,改进了孙琦的相应结果.在有限域上椭圆曲线密码体制的应用中,本文给出的算法是非常有效的. The authors propose an algorithm for computing multiplication tables of optimal normal bases over finite fields, which is better than those corresponding results of Sun. In particular, this algorithm is very helpful to elliptic curves public-key cryptic systems.
作者 廖群英 孙琦
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2005年第5期947-954,共8页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(10128103)基础数学重点学科建设项目(SZD0406)
关键词 有限域上的正规基 最优正规基 正规基的乘法表 Normal bases over finite fields Optimal normal bases Multiplication tables of optimal normal bases over finite fields
  • 相关文献

参考文献7

  • 1Mullin R., Onyszchuk I., Vanstone S., Wilson R., Optimal normal bases in GF(pn), Discrete Applied Math.,1988/1989, 22: 149-161.
  • 2Blake I., Gao S., Mullin R., Vanstone S., Yaghoobian T., Applications of finite fields, Kluwer: Kluwer Academic Publishers, 1993.
  • 3Lidl R., Niederreiter H., Finite fields, Cambrige: Cambrige University Press, 1987.
  • 4Agnew G., Mullin R., Onyszchuk I., Vanstone S., An implementation for a fast public key cryptosystem, J.of Cryptology, 1991, 3: 63-79.
  • 5Rosati T., A high speed data encryption processor for public key cryptography, San diego: Proc. of IEEE Custom Integrated Circuites Conference, 1989: 1231-1235.
  • 6Gao S., Lenstra H. W., Optimal normal bases, Disigns, Codes and Cryptology, 1992, 2: 315-323.
  • 7Sun Q., An algorithm on the multiplication table of the normal basis over finite fields, J. Sichuan Univ. Nat.Sci. Ed., 2003, 40(3): 447-452 (in Chinese).

同被引文献51

引证文献8

二级引证文献10

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