Self-orthogonal codes from equitable partitions of association schemes (CROSBI ID 306624)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Crnković, Dean ; Rukavina, Sanja ; Švob, Andrea
engleski
Self-orthogonal codes from equitable partitions of association schemes
We give a method of constructing self-orthogonal codes from equitable partitions of association schemes. By applying this method we construct self-orthogonal codes from some distance-regular graphs. Some of the obtained codes are optimal. Further, we introduce a notion of self-orthogonal subspace codes. We show that under some conditions equitable partitions of association schemes yield such self-orthogonal subspace codes and we give some examples from distance-regular graphs.
association scheme ; equitable partition ; self-orthogonal code ; subspace code
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Podaci o izdanju
55
2022.
157-171
objavljeno
0925-9899
1572-9192
10.1007/s10801-021-01104-z