تقرير
New extremal binary self-dual codes of length 68 from quadratic residue codes over f_2+uf_2+u^2f_2
| العنوان: | New extremal binary self-dual codes of length 68 from quadratic residue codes over f_2+uf_2+u^2f_2 |
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| المؤلفون: | Kaya, Abidin, Yildiz, Bahattin, Siap, Irfan |
| المصدر: | Finite Fileds and Their Applications Volume 29 2014 |
| سنة النشر: | 2013 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Computer Science - Information Theory, 94B05, 94B99 |
| الوصف: | 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 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.ffa.2014.04.009 |
| URL الوصول: | http://arxiv.org/abs/1308.0580 |
| رقم الأكسشن: | edsarx.1308.0580 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.ffa.2014.04.009 |
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