Pregled bibliografske jedinice broj: 957952
Self-orthogonal codes from orbit matrices of strongly regular graphs
Self-orthogonal codes from orbit matrices of strongly regular graphs // Graphs, groups, and more: celebrating Brian Alspach’s 80th and Dragan Marušič’s 65th birthday
Koper, Slovenija, 2018. (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 957952 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Self-orthogonal codes from orbit matrices of strongly regular graphs
Autori
Crnković, Dean ; Maksimović, Marija ; Rukavina, Sanja
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
Graphs, groups, and more: celebrating Brian Alspach’s 80th and Dragan Marušič’s 65th birthday
Mjesto i datum
Koper, Slovenija, 28.05.2018. - 01.06.2018
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Strongly regular graph ; self-orthogonal code ; block design.
Sažetak
In this talk we will show that under certain conditions submatrices of orbit matrices of strongly regular graphs span self-orthogonal codes. We apply this method to construct self-orthogonal binary linear codes from column orbit matrices of the triangular graph T(2k) with at most 120 vertices. Moreover, we construct linear codes from row orbit matrices of strongly regular graph with parameters (70, 27, 12, 9). Further, we obtain strongly regular graphs and block designs from codewords of the constructed codes.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
