Self-orthogonal codes from orbit matrices of strongly regular graphs (CROSBI ID 666394)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
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.
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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