Izvorni znanstveni članak

https://doi.org/10.3336/gm.45.2.02

Some strongly regular graphs and self-orthogonal codes from the unitary group U4(3)

Dean Crnković orcid.org/0000-0002-3299-7859 ; Department of Mathematics, University of Rijeka, 51000 Rijeka, Croatia
Vedrana Mikulić orcid.org/0000-0003-0757-0009 ; Department of Mathematics, University of Rijeka, 51000 Rijeka, Croatia
B. G. Rodrigues orcid.org/0000-0002-1349-0219 ; School of Mathematical Sciences, University of KwaZulu-Natal, Durban 4041, South Africa

Sažetak

We construct self-orthogonal codes from the row span over F2 or F3 of the adjacency matrices of some strongly regular graphs defined by the rank-3 action of the simple unitary group U4(3) on the conjugacy classes of some of its maximal subgroups. We establish some properties of these codes and the nature of some classes of codewords.

Ključne riječi

Strongly regular graph; symmetric design; self-orthogonal design; self-orthogonal code; automorphism group

Hrčak ID:

62690

URI

https://hrcak.srce.hr/62690

Datum izdavanja:

24.12.2010.

Posjeta: 1.656 *