New extremal binary self-dual codes of length 68 via short kharaghani array over f_2 + uf_2

Autor:	Kaya, Abidin
Rok vydání:	2016
Předmět:	Mathematics - Combinatorics Computer Science - Information Theory 94B05 94B99
Druh dokumentu:	Working Paper
Popis:	In this work, new construction methods for self-dual codes are given. The methods use the short Kharaghani array and a variation of it. These are applicable to any commutative Frobenius ring. We apply the constructions over the ring F_2 + uF_2 and self-dual Type I [64, 32, 12]_2-codes with various weight enumerators obtained as Gray images. By the use of an extension theorem for self-dual codes we were able to construct 27 new extremal binary self-dual codes of length 68. The existence of the extremal binary self-dual codes with these weight enumerators was previously unknown. Comment: 10 pages, 5 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1602.07085 Zobrazit plný text záznamu View this record from Arxiv