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

Authors : Refia AKSOY, Fatma ÇALIŞKAN

Pages : 1131-1136

Doi:10.16984/saufenbilder.525606

View : 20 | Download : 15

Publication Date : 2019-12-01

Article Type : Research Paper

Abstract : In this paper, free Euclidean self-dual codes over the ring  F 2  + v F 2  with v 2  =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   F 2  + v F 2    to F 2  x    F 2 , the generator matrix of the binary code which corresponds the code over the ring  F 2  + v F 2    is obtained. The codes of lengths up to 100 over the ring  F 2  + v F 2   are found.
Keywords : Euclidean self dual codes, codes over rings, Chinese remainder theorem