New extremal binary self-dual codes from F_4 + uF_4-lifts of quadratic double circulant codes over F_4

Autor:	Kaya, Abidin, Yildiz, Bahattin, Siap, Irfan
Rok vydání:	2014
Předmět:	Mathematics - Combinatorics Computer Science - Information Theory 94B05 94B99
Zdroj:	Finite Fileds and Their Applications Volume 35 2015
Druh dokumentu:	Working Paper
DOI:	10.1016/j.ffa.2015.05.004
Popis:	In this work, quadratic double and quadratic bordered double circulant constructions are applied to F_4 + uF_4 as well as F_4, as a result of which extremal binary self-dual codes of length 56 and 64 are obtained. The binary extension theorems as well as the ring extension version are used to obtain 7 extremal self-dual binary codes of length 58, 24 extremal self-dual binary codes of length 66 and 29 extremal self-dual binary codes of length 68, all with new weight enumerators, updating the list of all the known extremal self-dual codes in the literature. Comment: Under review since May 2014, 11 pages, 6 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1405.7147 Zobrazit plný text záznamu View this record from Arxiv