Pregled bibliografske jedinice broj: 1094909
Quasi-symmetric designs on 56 points
Quasi-symmetric designs on 56 points // Advances in mathematics of communications, 15 (2021), 4; 633-646 doi:10.3934/amc.2020086 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1094909 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Quasi-symmetric designs on 56 points
Autori
Krčadinac, Vedran ; Vlahović Kruc, Renata
Izvornik
Advances in mathematics of communications (1930-5346) 15
(2021), 4;
633-646
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
quasi-symmetric design ; symmetric design ; automorphism group ; construction method ; self-orthogonal code
Sažetak
Computational techniques for the construction of quasi-symmetric block designs are explored and applied to the case with 56 points. One new (56, 16, 18) and many new (56, 16, 6) designs are discovered, and non-existence of (56, 12, 9) and (56, 20, 19) designs with certain automorphism groups is proved. The number of known symmetric (78, 22, 6) designs is also significantly increased.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
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
