Pregled bibliografske jedinice broj: 360408
Self-orthogonal doubly-even codes from Hadamard matrices of order 48
Self-orthogonal doubly-even codes from Hadamard matrices of order 48 // 4th Croatian Mathematical Congress
Osijek, Hrvatska, 2008. (poster, domaća recenzija, neobjavljeni rad, znanstveni)
CROSBI ID: 360408 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Self-orthogonal doubly-even codes from Hadamard matrices of order 48
Autori
Crnković, Dean ; Mikulić, Vedrana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
4th Croatian Mathematical Congress
Mjesto i datum
Osijek, Hrvatska, 17.06.2008. - 20.06.2008
Vrsta sudjelovanja
Poster
Vrsta recenzije
Domaća recenzija
Ključne riječi
Hadamard matrix; doubly-even code; self-orthogonal code; strongly regular graph
Sažetak
From 54 Hadamard (47, 23, 12) designs we construct 15 doubly-even binary linear codes with parameters [48, 24, 4], [48, 23, 4], [48, 14, 4], [48, 14, 8], [48, 14, 12], [48, 13, 12], [48, 13, 16] and [48, 13, 8]. The constructed codes are self-complementary and self-orthogonal, and the [48, 24, 4] codes are self-dual. Further, we describe a construction of strongly regular graphs with parameters (495, 238, 109, 119), (276, 44, 22, 4), (78, 22, 11, 4), (77, 16, 0, 4), and (66, 20, 10, 4) from support designs of the constructed codes.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
319-0000000-3037 - Blok dizajni, jako regularni grafovi i srodne kombinatoričke strukture (Crnković, Dean, MZOS ) ( CroRIS)
Ustanove:
Filozofski fakultet, Rijeka
