Pregled bibliografske jedinice broj: 1182622
Self-orthogonal codes from equitable partitions of association schemes
Self-orthogonal codes from equitable partitions of association schemes // Journal of algebraic combinatorics, 55 (2022), 157-171 doi:10.1007/s10801-021-01104-z (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1182622 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Self-orthogonal codes from equitable partitions of association schemes
Autori
Crnković, Dean ; Rukavina, Sanja ; Švob, Andrea
Izvornik
Journal of algebraic combinatorics (0925-9899) 55
(2022);
157-171
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
association scheme ; equitable partition ; self-orthogonal code ; subspace code
Sažetak
We give a method of constructing self-orthogonal codes from equitable partitions of association schemes. By applying this method we construct self-orthogonal codes from some distance-regular graphs. Some of the obtained codes are optimal. Further, we introduce a notion of self-orthogonal subspace codes. We show that under some conditions equitable partitions of association schemes yield such self-orthogonal subspace codes and we give some examples from distance-regular graphs.
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)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-45 - Dizajni, grafovi i linearni kodovi (Rukavina, Sanja, NadSve - UNIRI PROJEKTI 2018) ( 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