EconPapers    
Economics at your fingertips  
 

New Optimal Quaternary Sequences with Period 2 N from Interleaving Tang–Lindner Sequences

Dazhou Wang and Xiaoping Shi ()
Additional contact information
Dazhou Wang: Department of Mathematics, Gansu Normal University for Nationalities, Hezuo 747000, China
Xiaoping Shi: Department of Mathematics, Gansu Normal University for Nationalities, Hezuo 747000, China

Mathematics, 2025, vol. 13, issue 11, 1-7

Abstract: In this paper, using the interleaving technique, we present a method for constructing M -ary sequences of length 4 N . We propose a new concept, referred to as the semi-interleaved sequence, based on some of the special cases of our construction. The period of these semi-interleaved sequences is 2 N , and their autocorrelations can be obtained in the same way as those of interleaved sequences. Applying the construction to certain known sequences, we obtain new quaternary sequences having period 2 N where N = 4 f + 1 is prime and f is an odd integer. The nontrivial autocorrelations of the new sequences are 2 and − 2 . From the autocorrelation distributions, we know that the new sequences cannot be obtained by previously known methods.

Keywords: M -ary sequences; autocorrelation; interleaved technique; semi-interleaved sequences; Tang–Lindner sequences (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/11/1808/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/11/1808/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:11:p:1808-:d:1666872

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().

 
Page updated 2025-06-04
Handle: RePEc:gam:jmathe:v:13:y:2025:i:11:p:1808-:d:1666872