期刊文献+

一种素数域上的非超奇椭圆曲线构造方案 被引量:1

Building scheme for nonsupersingular elliptic curve over the prime field
下载PDF
导出
摘要 对基域为素数域的非超奇椭圆曲线进行了研究,给出了构造素域上具有特定素数阶的非超奇椭圆曲线的一种算法,分析了算法时间复杂度. This paper studies the nonsupersingular elliptic curve whose background field is the big prime field and presents an algorithm of constructing elliptic curves, and the time-requirement analysis of the algorithm is given.
作者 何大可 万蓉
机构地区 西南交通大学
出处 《西南民族大学学报(自然科学版)》 CAS 2003年第1期9-15,共7页 Journal of Southwest Minzu University(Natural Science Edition)
关键词 素数域 非超奇椭圆曲线 算法 时间复杂度 密码体制 elliptic curve nonsupersingular prime field
  • 相关文献

参考文献7

  • 1Menezes A. Elliptic curve public key cryptosystems[M]. Boston: Kluwer Academic Publishers, 1993.
  • 2Atkin AOL, Morain F. Elliptic curves and primality proving[J]. Mathematics of Computation,1993,61(203):pp29-68.
  • 3Menezes A, Okamoto T, Vanstone S. Reducing elliptic curve logarithms to logarithms in a finite field[C]. Proc. 23rd Annual ACM Symposium on Theory of Computing. New Orleans, Louisiana,1991, p80-89.
  • 4Schoof R. Elliptic curves over finite fields and the computation of square roots mod p[J]. Mathematics of Computation. 1985, 44(170): p483-494.
  • 5Lercier R, Morain F. Counting the number of points on elliptic curves finite fields: strategies and performances[C]. Advances in Cryptology- EUROCRYPT'95 Proceeding,LNCS 921, Springer-Verlag,1995, p79-94.
  • 6Lercier R. Finding good random elliptic curves for cryptosystems defined over[C]. Advances in Cryptology-EUROCRYPT'97 Proceedings,LNCS 1233, Springer-Verlag, 1997, p379-392.
  • 7Morain F. Building cyclic elliptic curves modulo large primes[C]. Advances in Cryptology-EUROCRYPT' 91 Proceedings LNCS 547, p328-336.

同被引文献3

  • 1(加)DarrelHankerson,(加)AlfredMenezes,(加)ScottVanstone著,张焕国等译.椭圆曲线密码学导论[M]. 电子工业出版社, 2005
  • 2Bijan Ansari,Huapeng Wu.Parallel scalar multiplication for ellipticcurve cryptosystems[].CommunicationsCircuits and SystemsProceedings International Conference on.2005
  • 3张方国,王常杰,王育民.GF(p)上安全椭圆曲线及其基点的选取[J].电子与信息学报,2002,24(3):377-381. 被引量:16

引证文献1

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