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Pregled bibliografske jedinice broj: 1191122

Formally self-dual LCD codes from two-class association schemes


Crnković, Dean; Grbac, Ana; Švob, Andrea
Formally self-dual LCD codes from two-class association schemes // Applicable algebra in engineering communication and computing, 34 (2023), 183-200 doi:10.1007/s00200-021-00497-5 (međunarodna recenzija, članak, znanstveni)


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Naslov
Formally self-dual LCD codes from two-class association schemes

Autori
Crnković, Dean ; Grbac, Ana ; Švob, Andrea

Izvornik
Applicable algebra in engineering communication and computing (0938-1279) 34 (2023); 183-200

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
LCD code, association scheme, strongly regular graph, doubly regular tournament, formally self-dual code

Sažetak
Linear codes with complementary duals, shortly named LCD codes, are linear codes whose intersection with their duals is trivial. In this paper, we outline a construction for LCD codes over finite fields from the adjacency matrices of two-class association schemes. These schemes consist of either strongly regular graphs (SRGs) or doubly regular tournaments (DRTs). Under certain conditions, the method yields formally self-dual codes. Further, we propose a decoding algorithm that can be feasible for the LCD codes obtained using one of the given methods.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-51 - Kodovi, grupe i kombinatoričke strukture (Crnković, Dean, NadSve ) ( CroRIS)

Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku

Profili:

Avatar Url Andrea Švob (autor)

Avatar Url Dean Crnković (autor)

Avatar Url Ana Grbac (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Crnković, Dean; Grbac, Ana; Švob, Andrea
Formally self-dual LCD codes from two-class association schemes // Applicable algebra in engineering communication and computing, 34 (2023), 183-200 doi:10.1007/s00200-021-00497-5 (međunarodna recenzija, članak, znanstveni)
Crnković, D., Grbac, A. & Švob, A. (2023) Formally self-dual LCD codes from two-class association schemes. Applicable algebra in engineering communication and computing, 34, 183-200 doi:10.1007/s00200-021-00497-5.
@article{article, author = {Crnkovi\'{c}, Dean and Grbac, Ana and \v{S}vob, Andrea}, year = {2023}, pages = {183-200}, DOI = {10.1007/s00200-021-00497-5}, keywords = {LCD code, association scheme, strongly regular graph, doubly regular tournament, formally self-dual code}, journal = {Applicable algebra in engineering communication and computing}, doi = {10.1007/s00200-021-00497-5}, volume = {34}, issn = {0938-1279}, title = {Formally self-dual LCD codes from two-class association schemes}, keyword = {LCD code, association scheme, strongly regular graph, doubly regular tournament, formally self-dual code} }
@article{article, author = {Crnkovi\'{c}, Dean and Grbac, Ana and \v{S}vob, Andrea}, year = {2023}, pages = {183-200}, DOI = {10.1007/s00200-021-00497-5}, keywords = {LCD code, association scheme, strongly regular graph, doubly regular tournament, formally self-dual code}, journal = {Applicable algebra in engineering communication and computing}, doi = {10.1007/s00200-021-00497-5}, volume = {34}, issn = {0938-1279}, title = {Formally self-dual LCD codes from two-class association schemes}, keyword = {LCD code, association scheme, strongly regular graph, doubly regular tournament, formally self-dual code} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


Citati:





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