Pregled bibliografske jedinice broj: 1212389
DRGs and new block designs obtained from the Mathieu groups
DRGs and new block designs obtained from the Mathieu groups // 7th Croatian Mathematical Congress, Book of Abstracts
Split, 2022. str. 61-61 (predavanje, domaća recenzija, sažetak, znanstveni)
CROSBI ID: 1212389 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
DRGs and new block designs obtained from the Mathieu
groups
Autori
Mostarac, Nina ; Crnković, Dean ; Švob, Andrea
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
7th Croatian Mathematical Congress, Book of Abstracts
/ - Split, 2022, 61-61
Skup
7th Croatian Mathematical Congress
Mjesto i datum
Split, Hrvatska, 15.06.2022. - 18.06.2022
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Domaća recenzija
Ključne riječi
distance-regular graph ; Mathieu group ; linear code ; block design
Sažetak
We describe a construction of distance-regular graphs admitting a vertex transitive action of the fi ve Mathieu groups. From the binary code spanned by an adjacency matrix of the strongly regular graph with parameters (176, 70, 18, 34) we obtain block designs having the full automorphism groups isomorphic to the Higman-Sims finite simple group. From the same code we also obtain eight 2-designs whose full automorphism group is isomorphic to the Mathieu group M22, and whose existence cannot be explained neither by the Assmus-Mattson theorem nor by a transitivity argument.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
HRZZ-UIP-2020-02-5713 - Galoisove geometrije i koherentne konfiguracije (GalGeKo) (Švob, Andrea, HRZZ - 2020-02) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
