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Self-orthogonal codes from orbit matrices of strongly regular graphs (CROSBI ID 666394)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Crnković, Dean ; Maksimović, Marija ; Rukavina, Sanja Self-orthogonal codes from orbit matrices of strongly regular graphs. 2018

Podaci o odgovornosti

Crnković, Dean ; Maksimović, Marija ; Rukavina, Sanja

engleski

Self-orthogonal codes from orbit matrices of strongly regular graphs

In this talk we will show that under certain conditions submatrices of orbit matrices of strongly regular graphs span self-orthogonal codes. We apply this method to construct self-orthogonal binary linear codes from column orbit matrices of the triangular graph T(2k) with at most 120 vertices. Moreover, we construct linear codes from row orbit matrices of strongly regular graph with parameters (70, 27, 12, 9). Further, we obtain strongly regular graphs and block designs from codewords of the constructed codes.

Strongly regular graph ; self-orthogonal code ; block design.

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Podaci o prilogu

2018.

nije evidentirano

objavljeno

Podaci o matičnoj publikaciji

Podaci o skupu

Graphs, groups, and more: celebrating Brian Alspach’s 80th and Dragan Marušič’s 65th birthday

predavanje

28.05.2018-01.06.2018

Koper, Slovenija

Povezanost rada

Matematika