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环Z_q~n上函数线性结构及其性质的研究
引用本文:鲍皖苏.环Z_q~n上函数线性结构及其性质的研究[J].信息安全与通信保密,1997(1).
作者姓名:鲍皖苏
作者单位:解放军电子技术学院 郑州
摘    要:本文在Z_q~n(q=p_1*p_2,p_1、p_2是素数)上研究了函数f(x)的线性结构点性质并对函数f(x)的恒变线性结构点进行了分类,提出了零因子、非零因子恒变线性结构点两个全新的概念,讨论了恒变线性结构点之间的相互关系,指出了函数f(x)的非零谱值点与线性结构点之间的内在关系。

关 键 词:Walsh谱  线性结构点  第k类恒变线性结构点  非零因子恒变线性结构点

Study of Linera Structure of Furctions and it's Properties on Ring Z_q~n
Bao Wansu.Study of Linera Structure of Furctions and it's Properties on Ring Z_q~n[J].China Information Security,1997(1).
Authors:Bao Wansu
Affiliation:PLA Electronic Technology College Zhengzhou 450004
Abstract:In this paper,we study the linear structure of function and it's properties on ring Zqn(q=p1*p2,p1,p2 is prime),give out two new concepts-nonzero divisor variant -permanently linear structure and zero divisor variant - permanently linear structure,classify the vriant -permanently linear structure of function and show their correlations,finally,point out the correlations between linear structure and points taking nonzero spectrum.
Keywords:Walsh spectrum  linear structrue  the kth variant - permantly linear structure  nonzero divisor variant-permanently linear structure  zero divisor variant - permanently linear structure
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