Reed Muller定义域上的不动点和不动环

38th International Symposium on Multiple Valued Logic (ismvl 2008) Pub Date : 2008-05-22 DOI:10.1109/ISMVL.2008.15

C. Moraga, S. Stojkovic, R. Stankovic

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引用次数: 3

摘要

本文研究了对p值函数反复应用RM变换所产生的循环。证明了变换的特征向量存在非平凡不动点，并提出了一种确定n位函数对于给定p的最大周期的简单方法。引入了谱分集的概念，该概念可用于表征p值函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Fixed Points and Cycles in the Reed Muller Domain

This paper studies cycles that appear by repeatedly applying the RM transform to a p-valued function. It is shown that there are nontrivial fixed points, which correspond to eigenvectors of the transform and a simple method is proposed to determine the maximum period of n-place functions for a given p. The concept of spectral diversity is introduced, which may be applied to characterize p-valued functions.

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38th International Symposium on Multiple Valued Logic (ismvl 2008)

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