Pregled bibliografske jedinice broj: 905796
Transitive designs constructed from finite groups and related codes
Transitive designs constructed from finite groups and related codes // CIMPA Research School Algebraic Representation Theory 2015
Cape Town, Južnoafrička Republika, 2015. (pozvano predavanje, međunarodna recenzija, neobjavljeni rad, znanstveni)
CROSBI ID: 905796 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Transitive designs constructed from finite groups and related codes
Autori
Crnković, Dean
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
CIMPA Research School Algebraic Representation Theory 2015
Mjesto i datum
Cape Town, Južnoafrička Republika, 19.07.2015. - 31.07.2015
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
block design, finite group, transitive group, code
Sažetak
In this talk we describe a construction of 1-designs determined by a transitive action of a finite group. We apply this method to construct transitive designs from some finite simple groups. Some of the constructed 1-designs are also 2-designs. One can use this method to construct other combinatorial structures admitting transitive automorphism group, e.g. strongly regular graphs. Further, we discuss linear codes obtained from the constructed combinatorial structures and the corresponding orbit matrices.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-1637 - Kodovi i s njima povezane kombinatoričke strukture (CoCoS) (Crnković, Dean, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Dean Crnković
(autor)
