Pregled bibliografske jedinice broj: 1191122
Formally self-dual LCD codes from two-class association schemes
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
Citiraj ovu publikaciju:
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