Self-orthogonal codes constructed from orbit matrices of Seidel and Laplacian matrices of strongly regular graphs (CROSBI ID 699129)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Švob, Andrea ; Crnković, Dean ; Egan, Ronan ;
engleski
Self-orthogonal codes constructed from orbit matrices of Seidel and Laplacian matrices of strongly regular graphs
In this talk we introduce the notion of orbit matrices of integer matrices such as Hadamard matrices, Seidel and Laplacian matrices of some strongly regular graphs with respect to their permutation automorphism groups. We further show that under certain conditions these orbit matrices yield self-orthogonal codes over finite fields Fq, where q is a prime power and over finite rings Zm. As a case study, we construct codes from orbit matrices of Seidel, Laplacian and signless Laplacian matrices of strongly regular graphs. In particular, we construct self-orthogonal codes from orbit matrices of Seidel and Laplacian matrices of the Higman-Sims and McLaughlin graphs.
Strongly regular graph, Seidel matrix, Laplacian matrix, orbit matrix, self-orthogonal code
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Podaci o prilogu
58-58.
2019.
objavljeno
Podaci o matičnoj publikaciji
Abstracts of the 9th Slovenian International Conference on Graph Theory
Sergio Cabello, Bojan Mohar
Ljubljana: Institute of Mathematics, Physics and Mechanics
978-961-92681-1-7
Podaci o skupu
9th Slovenian International Conference on Graph Theory
predavanje
23.06.2019-29.06.2019
Bled, Slovenija