Naslov
Orbit matrices of Hadamard matrices and related codes

Autori
Švob, Andrea ; Crnković, Dean ; Egan, Ronan

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Combinatorics 2018 / - , 2018, 145-145

Skup
Combinatorics Conference 2018

Mjesto i datum
Trento, Italija; Arco, Italija, 03.06.2018. - 09.06.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Hadamard matrix, orbit matrix, self-orthogonal code

Sažetak
In this talk we introduce the notion of orbit matrices of Hadamard matrices with respect to their permutation automorphism groups. This definition of an orbit matrix of a Hadamard matrix is a generalization of the definition of an orbit matrix of an incidence structure which can be applied to a wider range of matrices, not just to $\{; 0, 1 \};$ matrices (incidence matrices of incidence structures). We show that under certain conditions these orbit matrices yield self-orthogonal codes.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA