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

Authors :
Kaya, Abidin
Publication Year :
2016

Abstract

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.<br />Comment: 10 pages, 5 tables

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1602.07085
Document Type :
Working Paper