Self-dual codes from orbit matrices and quotient matrices of combinatorial designs (CROSBI ID 254471)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Crnković, Dean ; Mostarac, Nina
engleski
Self-dual codes from orbit matrices and quotient matrices of combinatorial designs
In this paper we give constructions of self- orthogonal and self-dual codes, with respect to certain scalar products, with the help of orbit matrices of block designs and quotient matrices of symmetric (group) divisible designs (SGDDs) with the dual property. First we describe constructions from block designs and their extended orbit matrices, where the orbit matrices are induced by the action of an automorphism group of the design. Further, we give some further constructions of self-dual codes from symmetric block designs and their orbit matrices. Moreover, in a similar way as for symmetric designs, we give constructions of self-dual codes from SGDDs with the dual property and their quotient matrices.
Self-dual code ; Block design ; Orbit matrix ; Divisible design ; Quotient matrix
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Podaci o izdanju
341 (12)
2018.
3331-3343
objavljeno
0012-365X
1872-681X
10.1016/j.disc.2018.08.019