On pseudorandom subsets in finite fields I: measure of pseudorandomness and support of Boolean functions

被引：0
|
作者：
Huaning Liu
Xiaolin Chen
机构：
[1] Northwest University,School of Mathematics
来源：
Periodica Mathematica Hungarica | 2021年 / 83卷
关键词：
Pseudorandom measure; Subset; Finite field; Lower bound; Boolean function; Cyclotomic class; 11K38; 11K45; 11T24; 11T71; 94C10; 11T22;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Subsets with “good” properties in finite fields are widely applied in coding and cryptography. In this paper we introduce pseudorandom measures for subsets in finite fields and prove lower bounds for the pseudorandom measure. The pseudorandom properties of support of some Boolean functions are studied and the properties of cyclotomic classes in finite fields have also been discussed.
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页码：204 / 219
页数：15
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