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

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

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.

Orijinal dil	İngilizce
Makale numarası	165
Dergi	Bulletin of the Malaysian Mathematical Sciences Society
Hacim	47
Basın numarası	6
DOI'lar	https://doi.org/10.1007/s40840-024-01760-x
Yayın durumu	Yayınlandı - Kas 2024

Bibliyografik not

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

Belgeye Erişim

10.1007/s40840-024-01760-x

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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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",

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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 - https://www.scopus.com/pages/publications/85202956704

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)

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap