SPECTRAL ANALYSIS OF SOME INDEPENDENCES OF MULTIPLE-VALUED LOGICAL FUNCTIONS FROM THEIR VARIABLES

Wu Chuankun

Volume 15 Issue 1

Jan. 1993

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Wu Chuankun. SPECTRAL ANALYSIS OF SOME INDEPENDENCES OF MULTIPLE-VALUED LOGICAL FUNCTIONS FROM THEIR VARIABLES[J]. Journal of Electronics & Information Technology, 1993, 15(1): 17-25.

Citation:

Wu Chuankun. SPECTRAL ANALYSIS OF SOME INDEPENDENCES OF MULTIPLE-VALUED LOGICAL FUNCTIONS FROM THEIR VARIABLES[J]. Journal of Electronics & Information Technology, 1993, 15(1): 17-25.

Wu Chuankun. SPECTRAL ANALYSIS OF SOME INDEPENDENCES OF MULTIPLE-VALUED LOGICAL FUNCTIONS FROM THEIR VARIABLES[J]. Journal of Electronics & Information Technology, 1993, 15(1): 17-25.

Citation:

Wu Chuankun. SPECTRAL ANALYSIS OF SOME INDEPENDENCES OF MULTIPLE-VALUED LOGICAL FUNCTIONS FROM THEIR VARIABLES[J]. Journal of Electronics & Information Technology, 1993, 15(1): 17-25.

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SPECTRAL ANALYSIS OF SOME INDEPENDENCES OF MULTIPLE-VALUED LOGICAL FUNCTIONS FROM THEIR VARIABLES

Wu Chuankun

Received Date: 1991-08-27
Rev Recd Date: 1992-03-17
Publish Date: 1993-01-19

Abstract

Abstract

There are many kinds of special relationships between multiple-valued logical functions and their variables, and it is difficult to be judged from their expressions . In this paper, some sufficient and necessary conditions of the independence and statistical indepenndence of multiple-valued logical functions from their variables are given. Some conditions of algebraic independence of multi-valued logical functions from some of their variables and the way to degenerate a function to the greatest extent are proposed, and some applications of these results are indicated. All the results are studied by using Chrestenson spectral techniques.

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References(1)

References

M. G. Karpovsky.[J].Finite Orthogonal Series in the Design of Digital Devices, John WileySons, New York.1976,:-[2]肖国镇,关于n元Boole函数与某一变元无关的判别准则,中国电子学会文集,信息论与沃尔什函数,中国电子学会信息论专业学会编,广州,(1980),第295-297页.[3]武传坤,布尔函数对某些变元的无关性,西安电子科技大学学报,15(1988)4,74-81.[4]G. Z. Xiao, J. L. Massey, IEEE Trans. on IT, IT-34(1988)3, 569-571.[5]G. Z. Xiao, B. Z. Shen, C. K. Wu, Some Spectral Techniques in Coding Theory, Presented at Second International Workshop on Spectral Techniques, Montreal, Canada, 1986, also Discrete Mathematics 87(1991); 181-186.[6]陈克非,纠错码特征函数的谱分析,电子学报,16(1988) 5,87-92.[7]T. Siegenthaler, IEEE Trans. on C,C-34(1985)1, 81-85.[8]T. Siegenthaler, Cryptanalysis Representation of Nonlinearly Filtered ML-sequences, Lecture Notes in Computer Science, Advances in Cryptology-EUROCRYPT85, Springer-Verlag, Berlin, Heidelberg (1986), pp. 103-110.[9]A. Ben-Israel.[J].T. N. E. Greville, Generalized Inverses; Theory and Applications, John Wiley Sons, New York.1974,:-

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