Naslov
Codes from orbit matrices of strongly regular graphs

Autori
Rukavina, Sanja ; Crnković, Dean ; Maksimović, Marija

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

Izvornik
Combinatorics 2018 / - Arco, 2018, 138-138

Skup
Combinatorics 2018 conference

Mjesto i datum
Arco, Italija, 03.06.2018. - 09.06.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
strongly regular graph ; self-orthogonal code ; block design

Sažetak
The construction of some combinatorial structures and linear codes from orbit matrices of strongly regular graphs is given in [2]. We show that under certain conditions submatrices of orbit matrices of strongly regular graphs span self-orthogonal codes (see [1]). In order to demonstrate this method of construction, we construct self-orthogonal binary linear codes from orbit matrices of the triangular graphs T(2k) with at most 120 vertices. Further, we obtain strongly regular graphs and block designs from codewords of the constructed codes. References: [1] D. Crnković, M.Maksimović and S. Rukavina, “Codes from orbit matrices of strongly regular graphs”, Rad Hrvat. Akad. Znan. Umjet. Mat. Znan., to appear [2] D. Crnković, M. Maksimović, B. G. Rodrigues and S. Rukavina, “Self-orthogonal codes from the strongly regular graphs on up to 40 vertices”, Adv. Math. Commun., 10, 555–582, 2016.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA