New extremal binary self-dual codes of length 68 from quadratic residue codes over f_2+uf_2+u^2f_2
| Autor: | Kaya, Abidin, Yildiz, Bahattin, Siap, Irfan |
|---|---|
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Finite Fileds and Their Applications Volume 29 2014 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.ffa.2014.04.009 |
| Popis: | In this work, quadratic reside codes over the ring F2 +uF2 +u^2F2 with u^3 = u are considered. A duality and distance preserving Gray map from F2 + uF2 + u^2F2 to (F_2)^3 is defined. By using quadratic double circulant, quadratic bordered double circulant constructions and their extensions self- dual codes of different lengths are obtained. As Gray images of these codes and their extensions, a substantial number of new extremal self-dual binary codes are found. More precisely, thirty two new extremal binary self-dual codes of length 68, 363 Type I codes of parameters [72; 36; 12], a Type II [72; 36; 12] code and a Type II [96; 48; 16] code with new weight enumerators are obtained through these constructions. The results are tabulated. Comment: Under review |
| Databáze: | arXiv |
| Externí odkaz: |
|