Naslov
Self-orthogonal codes from some Bush-type Hadamard matrices

Autori
Crnković, Dean ; Rodrigues, B. G.

Izvornik
Quaestiones Mathematicae (1607-3606) 36 (2013), 3; 341-352

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

Ključne riječi
self-orthogonal code; Bush-type Hadamard matrix; symmetric design

Sažetak
By means of a construction method outlined by Harada and Tonchev, we determine some non-binary self-orthogonal codes obtained from the row span of orbit matrices of Bush-type Hadamard matrices that admit a fixed-point-free and fixed-block-free automorphism of prime order. We show that the code [20, 15, 4]_5 obtained from a (100, 45, 20) design is optimal, and those with parameters [36, 21, 6]_3 and [20, 14, 4]_5 obtained from a (36, 15, 6) and a (100, 45, 20) design respectively, are near-optimal for the given length and dimension. Furthermore, we obtained a conjecturally optimal self-dual doubly-even [72, 36, 12]_2 code, and examined the code of an orbit matrix of a putative (676, 325, 156) design.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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