Symbol-Triple Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths over F q + u F q + u 2 F q

Hai Q. Dinh, Jamal Laaouine, Brahim Boudine and Woraphon Yamaka
Additional contact information
Hai Q. Dinh: Department of Mathematical Sciences, Kent State University, Warren, OH 44483, USA
Jamal Laaouine: Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdallah, B.P. 1796, Fès-Atlas, Fès 30003, Morocco
Brahim Boudine: Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdallah, B.P. 1796, Fès-Atlas, Fès 30003, Morocco
Woraphon Yamaka: Centre of Excellence in Econometrics, Faculty of Economics, Chiang Mai University, Chiang Mai 52000, Thailand

Mathematics, 2022, vol. 10, issue 14, 1-14

Abstract: Let p be an odd prime, where ϑ and m are positive integers. Let ψ be a nonzero element of the finite field F q , where q = p m , and R = F q + u F q + u 2 F q ( u 3 = 0 ) . In this paper, we determine completely the symbol-triple distances of all ψ -constacyclic codes of length p ϑ over R .

Keywords: finite chain ring; constacyclic codes; repeated-root codes; symbol-triple distance (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/14/2496/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/14/2496/ (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:10:y:2022:i:14:p:2496-:d:865337

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 ().