Pregled bibliografske jedinice broj: 359748
Self-orthogonal doubly-even codes from Hadamard matrices of order 48
Self-orthogonal doubly-even codes from Hadamard matrices of order 48 // Advances and applications in discrete mathematics, 1 (2008), 2; 159-170 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 359748 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
Izvornik
Advances and applications in discrete mathematics (0974-1658) 1
(2008), 2;
159-170
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
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
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
