Dergiler / Sakarya University Journal of Science / 2019 / Cilt: 23 Sayı: 6

Some results on free Euclidean self-dual codes over F2+vF2

Some results on free Euclidean self-dual codes over F2+vF2

Refia AKSOY, Fatma ÇALIŞKAN

Sayfa
1131–1136
DOI
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Abstract

In this paper, free Euclidean self-dual codes over the ring F2 + v F2 with v2 =v of order 4 are considered. A necessary and sufficient condition for the form of the generator matrix of a free Euclidean self-dual code is given. By using the distance preserving Gray map from F2 + v F2 to F2 x F2, the generator matrix of the binary code which corresponds the code over the ring F2 + v F2 is obtained. The codes of lengths up to 100 over the ring F2 + v F2 are found.