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关于有限域上原根的分布

, PP. 28-30

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Abstract:

用初等而简洁的方法证明了以下结果设q为素数p的幂,n是一个正整数,F=Fqn为q元域K=Fq的n次扩张,U是K的任意原根,则F的原根在N-1F/K(U)中的分布是均匀的,其中N-1F/K(U)是T在K上的范函数NF/K(T)的逆函数.以上结果可应用到有限域Fq上的椭圆曲线公钥密码体制中去.

References

[1]	Menezes A J. Elliptic curves public key cryptosystems[M]. New York:Kluwer Academic Publishers, 1993.
[2]	蔡满春,扬义先,胡正名. 基于椭圆曲线密码体制的一种电子现金方案[J]. 北京邮电大学学报, 2004,27(2):44-47.
[3]	Cai M C, Yang Y X, Hu Z M. Electronic cash scheme based on elliptic curve cryptosystem[J]. Journal of Beijing University of Posts and Telecommunications,2004,27(2):44-47.
[4]	Schoof R. Counting points on elliptic curves over finite fields[J]. Journal de Theorie des Nombers de Bordeaux, 1995,(7):219-254.
[5]	华罗庚. 数论导引[M]. 北京:科学出版社,1957.
[6]	Hua L G. Introduction to number theory[M]. Beijing: Science Press, 1957.
[7]	柯召,孙琦. 数论讲义[M]. 北京:高等教育出版社,1986.
[8]	Ke Z,Sun Q. The lecture of number theory[M]. Beijing:Higher Education Press, 1986.
[9]	Fitzgerald R W. A characterization of primitive polynomials over finite fields[J]. Finite Fields and Their Applications,2003,(9):117-121.
[10]	Zhang Z X. Finding finite B2-sequences with large m-a^{1/2m[J]. Mathematics of Computation, 1994,(63):403-414.}
[11]	霍家佳,张起帆. 关于有限域Fp2上的原根[J]. 四川大学学报(自然科学版),2003,40(3),447-452.
[12]	Huo J J, Zhang Q F. On primitive elements over the finite fields Fp2[J]. Journal Sichuan University (Nat Sci Ed),2003,40(3):447-452.
[13]	Lidl R,Niederreiter H. Finite fields[M]. New York:Addison-Wesley,1983. 51-57.

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