AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Electronic Research Archive Article
PDF (494.6 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Correlation properties of interleaved Legendre sequences and Ding-Helleseth-Lam sequences

Yixin Ren, Chenyu Hou, Huaning Liu( )
Research Center for Number Theory and Its Applications, School of Mathematics, Northwest University, Xi'an 710127, China
Show Author Information

Abstract

Sequences with optimal autocorrelation properties play an important role in wireless communication, radar and cryptography. Interleaving is a very important method in constructing the optimal autocorrelation sequence. Tang and Gong gave three different constructions of interleaved sequences (generalized GMW sequences, twin prime sequences and Legendre sequences). Su et al. constructed a series of sequences with optimal autocorrelation magnitude via interleaving Ding-Helleseth-Lam sequences. In this paper we further study the correlation properties of interleaved Legendre sequences and Ding-Helleseth-Lam sequences.

Keywords

fourth-ordercorrelationinterleavingLegendre sequenceDing-Helleseth-Lam sequence

References

【1】
【1】
 
 
Crossref Google Scholar
Electronic Research Archive
Volume 31 Issue 8,
August 2023
Pages 4549-4556
DOI: 10.3934/era.2023232

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Ren Y, Hou C, Liu H. Correlation properties of interleaved Legendre sequences and Ding-Helleseth-Lam sequences. Electronic Research Archive, 2023, 31(8): 4549-4556. https://doi.org/10.3934/era.2023232

8

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 03 April 2023
Revised: 24 May 2023
Accepted: 30 May 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

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