MacWilliams Identities of the Linear Codes Over Fq×(Fq+vFq)

Mevlüt Tekkoyun; Ergün Yaraneri

doi:10.1007/s40840-024-01760-x

MacWilliams Identities of the Linear Codes Over Fq×(Fq+vFq)

Mevlüt Tekkoyun^*, Ergün Yaraneri

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

Let R be the F_q-algebra F_q×(F_q+vF_q) of order q³ where v²=v and F_q is a finite field of q elements. We study the MacWilliams identities of the linear codes over R related to complete, Hamming, symmetric, Gray and Lee weight enumerators.

Original language	English
Article number	165
Journal	Bulletin of the Malaysian Mathematical Sciences Society
Volume	47
Issue number	6
DOIs	https://doi.org/10.1007/s40840-024-01760-x
Publication status	Published - Nov 2024

Bibliographical note

Publisher Copyright:
© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2024.

Keywords

94B15
Codes over rings
Linear codes
MacWilliams identities
Primary: 11T71
Secondary: 94B05

Access to Document

10.1007/s40840-024-01760-x

Cite this

@article{fb4f0be7d2894fecbc49d442b3c651d7,

title = "MacWilliams Identities of the Linear Codes Over Fq×(Fq+vFq)",

abstract = "Let R be the Fq-algebra Fq×(Fq+vFq) of order q3 where v2=v and Fq is a finite field of q elements. We study the MacWilliams identities of the linear codes over R related to complete, Hamming, symmetric, Gray and Lee weight enumerators.",

keywords = "94B15, Codes over rings, Linear codes, MacWilliams identities, Primary: 11T71, Secondary: 94B05",

author = "Mevl{\"u}t Tekkoyun and Erg{\"u}n Yaraneri",

note = "Publisher Copyright: {\textcopyright} Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2024.",

year = "2024",

month = nov,

doi = "10.1007/s40840-024-01760-x",

language = "English",

volume = "47",

journal = "Bulletin of the Malaysian Mathematical Sciences Society",

issn = "0126-6705",

publisher = "Springer Singapore",

number = "6",

}

TY - JOUR

T1 - MacWilliams Identities of the Linear Codes Over Fq×(Fq+vFq)

AU - Tekkoyun, Mevlüt

AU - Yaraneri, Ergün

N1 - Publisher Copyright: © Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2024.

PY - 2024/11

Y1 - 2024/11

N2 - Let R be the Fq-algebra Fq×(Fq+vFq) of order q3 where v2=v and Fq is a finite field of q elements. We study the MacWilliams identities of the linear codes over R related to complete, Hamming, symmetric, Gray and Lee weight enumerators.

AB - Let R be the Fq-algebra Fq×(Fq+vFq) of order q3 where v2=v and Fq is a finite field of q elements. We study the MacWilliams identities of the linear codes over R related to complete, Hamming, symmetric, Gray and Lee weight enumerators.

KW - 94B15

KW - Codes over rings

KW - Linear codes

KW - MacWilliams identities

KW - Primary: 11T71

KW - Secondary: 94B05

UR - http://www.scopus.com/inward/record.url?scp=85202956704&partnerID=8YFLogxK

U2 - 10.1007/s40840-024-01760-x

DO - 10.1007/s40840-024-01760-x

M3 - Article

AN - SCOPUS:85202956704

SN - 0126-6705

VL - 47

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 6

M1 - 165

ER -

MacWilliams Identities of the Linear Codes Over Fq×(Fq+vFq)

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this