New Criterion of Correlation Immunity for pr-Valued Logic Functions
LI Shi-qu · Mathematica Applicata · 2006
Combining the p-adic decomposition of the variables in Z pr and the thought of probability theory,this paper firstly presents the decompose properties and equivalent description of pr-valued r.v.Then the p-adic decomposition of both the pr-valued logic functions and the variables is shown.Based on this,a linear combining lemma and spectrum criterion of k order correlation-immunity of pr-valued logic functions is given in the sense of p-adic decomposition by using Chrestenson transformation of p-valued logic functions directly.