Some strongly regular graphs and self-orthogonal codes from the unitary group U(4, 3) (CROSBI ID 168201)
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Crnković, Dean ; Mikulić, Vedrana ; Rodrigues, B. G.
engleski
Some strongly regular graphs and self-orthogonal codes from the unitary group U(4, 3)
We construct self-orthogonal codes from the row span over GF(2) or GF(3) of the adjacency matrices of some strongly regular graphs defined by the rank-3 action of the simple unitary group U(4, 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.
Strongly regular graph; symmetric design; self-orthogonal design; self-orthogonal code; automorphism group
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