期刊文献+

AN APPROXIMATE EXPRESSION RELATED WITH RSA FIXED POINTS 被引量:4

AN APPROXIMATE EXPRESSION RELATED WITH RSA FIXED POINTS
下载PDF
导出
摘要 Let T=T(n,e,α) be the number of fixed points o f RSA(n,e) that a re co prime with n=pq,and A,B be sets of prime numbers in (1,x) and (1,y) respectively. An estimation on the mean value M(A,B,e,α)=1 (#A)(#B)∑p∈A,q∈B,(p,q)=1logT(pq,e,α) is given. Let T=T(n,e,α) be the number of fixed points o f RSA(n,e) that a re co prime with n=pq,and A,B be sets of prime numbers in (1,x) and (1,y) respectively. An estimation on the mean value M(A,B,e,α)=1 (#A)(#B)∑p∈A,q∈B,(p,q)=1logT(pq,e,α) is given.
作者 YuXiuyuan
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2004年第1期1-8,共8页 高校应用数学学报(英文版)(B辑)
基金 Supported by the National Natural Science Foundation of China (1 0 2 71 0 37) and Zhejiang ProvincialNatural Scienceoundation(1 0 30 60 )
关键词 RSA fixed point mean value. RSA, fixed point, mean value.
  • 相关文献

参考文献2

二级参考文献8

  • 1潘承洞 潘承彪.解析数论基础[M].北京:科学出版社,1997.98-101.
  • 2[1]Koblitz N. A Course in Number Theory and Cryptography. New York: Springer-Verlag, 1987
  • 3[2]Tilborg H. An Introduction to Cryptology. Boston: Kluwer, 1987
  • 4[3]Lramalos E. Primality and Cryptography. New York: John Wiley & Sons, 1986
  • 5[4]Hardy G H, Wright E M. An Introduction to the Theory of Number Theory. Oxford, 1981
  • 6van Tilborg H. An Introduction to Cryptography. Boston: Kluwer Academic Publishers,1987
  • 7Hardy G H, Wright E M. An Introduction to the Theory of Numbers. 5th ed. Oxford: Oxford Press, 1981
  • 8徐秋亮.改进门限RSA数字签名体制[J].计算机学报,2000,23(5):449-453. 被引量:63

共引文献4

同被引文献13

  • 1谢琪,于秀源.有指定秘书的(t,n)门限群签名体制[J].高校应用数学学报(A辑),2005,20(2):156-160. 被引量:2
  • 2沈忠华,于秀源.一个安全有效的电子支付系统[J].计算机工程与应用,2006,42(7):200-201. 被引量:3
  • 3沈忠华,于秀源.一个安全有效的有向门限签名方案[J].浙江大学学报(理学版),2006,33(4):393-395. 被引量:5
  • 4张先红.数字签名原理与技术[M].北京:机械工业出版社,2004:80~87,92~97,166~170
  • 5于秀源.复合加密的公钥密码系统[A].密码学进展-CHINACRYPTO'92[C].北京:科学出版社,1992.55~58.
  • 6Chang C C, Wu T C. Remote password authentication with smart cards[J]. IEEE Proceedings-E, 1993, 138(3): 165-168.
  • 7Hwang M S, Li L H. A new remote user authentication scheme using smart cards[J].IEEE Trans Consumer Electron, 2000, 46(1): 28-30.
  • 8Chan C K, Cheng L M. Cryptanalysis of a remote user authentication scheme using smart cards[J]. IEEE Trans Consumer Electron, 2000,46(3): 992-993.
  • 9Shen K C, Lin C W, Hwang M S. A modified remote user authentication scheme using smart cards[J]. IEEE Trans Consumer Electron, 2003, 49(2): 414-416.
  • 10Chang C C, Hwang K F. Some forgery attack on a remote user authentication scheme using smart cards[J].Informatics, 2003, 14(3): 189-294.

引证文献4

二级引证文献6

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