On an inequality between pseudorandom measures of lattices

被引：0

作者：

Gyarmati, Katalin ^{[1
]}

Sebok, Richard ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Dept Algebra & Number Theory, Pazmany Peter Setany 1-C, H-1117 Budapest, Hungary

来源：

DISCRETE APPLIED MATHEMATICS | 2021年 / 300卷

关键词：

Binary sequences; Pseudorandomness; Well-distribution; Correlation;

D O I：

10.1016/j.dam.2021.04.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Mauduit and Sarkozy proved the following inequality between the well-distribution measure and the correlation measure of order 2: W(E-N) <= 3 root NC2(E-N). This result has been generalized to inequalities between the combined pseudorandom measures and correlation measures of even order by the authors of the present paper. Here the multidimensional case is studied, and this inequality is extended further to the case of binary lattices. (C) 2021 Published by Elsevier B.V.

引用

页码：9 / 18

页数：10

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