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Research Article | Open Access

On the correlation of k symbols

Yixin Ren, Huaning Liu( )
Research Center for Number Theory and Its Applications, School of Mathematics, Northwest University, Xi'an 710127, Shaanxi, China
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Abstract

In 2002 Mauduit and Sárközy started to study finite sequences of k symbols

EN=(e1,e2,⋯,eN)∈AN,

where

A={a1,a2,⋯,ak},(k∈N,k≥2)

is a finite set of k symbols. Bérczi estimated the pseudorandom measures for a truly random sequence EN of k symbol. In this paper, we shall study the minimal values of correlation measures for the sequences of k symbols, developing the methods similar to those introduced by Alon, Anantharam, Gyarmati, and Schmidt, among others.

Keywords

pseudorandom sequencek symbolcorrelation measure
CLC number: 11K45, 94A55, 94A60

References

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 21455-21470
DOI: 10.3934/math.20241042

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Ren Y, Liu H. On the correlation of k symbols. AIMS Mathematics, 2024, 9(8): 21455-21470. https://doi.org/10.3934/math.20241042

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Received: 16 April 2024
Revised: 20 June 2024
Accepted: 24 June 2024
Published: 15 August 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)