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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 534=22, 2018.

Original scientific paper

https://doi.org/10.21857/mwo1vczo8y

Codes from orbit matrices of strongly regular graphs

Dean Crnković orcid id orcid.org/0000-0002-3299-7859 ; Department of Mathematics, University of Rijeka, 51 000 Rijeka, Croatia
Marija Maksimović orcid id orcid.org/0000-0002-8094-3724 ; Department of Mathematics, University of Rijeka, 51 000 Rijeka, Croatia
Sanja Rukavina orcid id orcid.org/0000-0003-3365-7925 ; Department of Mathematics, University of Rijeka, 51 000 Rijeka, Croatia

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Abstract

We show that under certain conditions submatrices of orbit matrices of strongly regular graphs span self-orthogonal codes. 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.

Keywords

Strongly regular graph; self-orthogonal code; block design

Hrčak ID:

206193

URI

https://hrcak.srce.hr/206193

Publication date:

28.9.2018.

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