Self-dual codes from extended orbit matrices of symmetric designs (CROSBI ID 244433)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Crnković, Dean ; Rukavina, Sanja
engleski
Self-dual codes from extended orbit matrices of symmetric designs
In this paper we study codes spanned by the rows of an orbit matrix of a symmetric design with respect to the action of an automorphism group that acts with all orbits of the same length. We define an extended orbit matrix and show that under some condition the rows of the extended orbit matrix span a code that is self- dual with respect to a certain scalar product. Further, we show that sometimes a chain of codes can be used to associate a self-dual code to an orbit matrix of a symmetric design.
Symmetric design ; Orbit matrix ; Linear code ; Self-dual code
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Podaci o izdanju
79 (1)
2016.
113-120
objavljeno
0925-1022
1573-7586
10.1007/s10623-015-0038-x