- Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 23 Issue: 6
- Some results on free Euclidean self-dual codes over F2+vF2
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 : 12 | Download : 6
Publication Date : 2019-12-01
Article Type : Other
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