Binary doubly-even self-dual codes of length 72 with large automorphism groups

Crnković, Dean; Rukavina, Sanja; Simčić, Loredana

Pregled bibliografske jedinice broj: 654032

Binary doubly-even self-dual codes of length 72 with large automorphism groups

Crnković, Dean; Rukavina, Sanja; Simčić, Loredana

Binary doubly-even self-dual codes of length 72 with large automorphism groups // Mathematical communications, 18 (2013), 2; 297-308 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 654032 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Binary doubly-even self-dual codes of length 72 with large automorphism groups

Autori
Crnković, Dean ; Rukavina, Sanja ; Simčić, Loredana

Izvornik
Mathematical communications (1331-0623) 18 (2013), 2; 297-308

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
self-dual code; Hadamard matrix; strongly regular graph

Sažetak
We study binary linear codes constructed from fifty-four Hadamard 2-(71, 35, 17) designs. The constructed codes are self-dual, doubly-even and self-complementary. Since most of these codes have large automorphism groups, they are suitable for permutation decoding. Therefore we study PD-sets of the obtained codes. We also discuss error-correcting capability of the obtained codes by majority logic decoding. Further, we describe a construction of a 3-(72, 12, 11) design and a 3-(72, 16, 2010) design from a binary [72, 16, 12] code, and a construction of a strongly regular graph with parameters (126, 25, 8, 4) from a binary [35, 8, 4] code related to a derived 2-(35, 17, 16) design.

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:
Tehnički fakultet, Rijeka,
Institut za poljoprivredu i turizam, Poreč,
Sveučilište u Rijeci, Fakultet za matematiku

Profili:

Loredana Simčić (autor)