Pregled bibliografske jedinice broj: 1138558
On some periodic Golay pairs and pairwise balanced designs
On some periodic Golay pairs and pairwise balanced designs // 8th European Congress of Mathematics, Book of abstracts
Portorož, Slovenija, 2021. str. 267-267 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1138558 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On some periodic Golay pairs and pairwise balanced designs
Autori
Švob, Andrea ; Crnković, Dean ; Dumičić Danilović, Doris ; Egan, Ronan
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
8th European Congress of Mathematics, Book of abstracts
/ - , 2021, 267-267
Skup
8th European Congres of Mathematics
Mjesto i datum
Portorož, Slovenija, 20.06.2021. - 26.06.2021
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
periodic Golar pair ; pairwise balanced design
Sažetak
In this talk we will show how a relationship between certain pairwise balanced designs with v points and periodic Golay pairs of length v can be useful to construct periodic Golay pairs. The talk is based on recent work where we construct pairwise balanced designs with v points under specific block conditions having an assumed cyclic automorphism group, and using isomorph rejection which is compatible with equivalence of corresponding periodic Golay pairs, we complete a classification of periodic Golay pairs of length less than 40, up to equivalence. Further, we will show how we use similar tools to construct new periodic Golay pairs of lengths greater than 40 where classifications remain incomplete, and demonstrate that under some extra conditions on its automorphism group, a periodic Golay pair of length 90 do not exist.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
