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

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

 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.

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