Some results on free Euclidean self-dual codes over F2+vF2
Refia Aksoy, Fatma Çalışkan · Sakarya University Journal of Science · 2019
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.