Pregled bibliografske jedinice broj: 1103507
Constructing quasi-symmetric designs from orbits
Constructing quasi-symmetric designs from orbits // Finite Geometry Workshop 2019
Szeged, Mađarska, 2019. str. 1-1 (predavanje, podatak o recenziji nije dostupan, neobjavljeni rad, znanstveni)
CROSBI ID: 1103507 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Constructing quasi-symmetric designs from orbits
Autori
Vlahović Kruc, Renata ; Krčadinac, Vedran
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
Finite Geometry Workshop 2019
Mjesto i datum
Szeged, Mađarska, 31.01.2019. - 04.02.2019
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Podatak o recenziji nije dostupan
Ključne riječi
quasi-symmetric design ; automorphism group ; orbit
Sažetak
Finding quasi-symmetric 2-(v, k, lambda) designs with intersection numbers x and y, and with a prescribed automorphism group G is done in two steps: 1. compute the good orbits of G on k-element subsets of points, 2. select orbits comprising blocks of the design. We will focus on the second step and explain methods for constructing quasi-symmetric designs from orbits. Depending on the number of the good orbits, we use one of the following three methods: the Kramer-Mesner method, a method based on clique search, and a method based on tactical decompositions. Using these methods, we construct some new quasi-symmetric designs with parameters 2-(56, 16, 6), x=4, y=6 and 2-(56, 16, 18), x=4, y=8.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
HRZZ-IP-2013-11-1637 - Kodovi i s njima povezane kombinatoričke strukture (CoCoS) (Crnković, Dean, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
