Constructing formally self-dual codes from block λ-circulant matrices

被引：0
|
作者：
Kaya, Abidin [1 ]
Yildiz, Bahattin [2 ]
机构：
[1] Sampoerna Acad, Ave Campus, Jakarta 12780, Indonesia
[2] No Arizona Univ, Dept Math & Stat, Flagstaff, AZ 86011 USA
来源：
MATHEMATICAL COMMUNICATIONS | 2019年 / 24卷 / 01期
关键词：
formally self-dual codes; near-extremal codes; circulant codes; EVEN CODES; CLASSIFICATION; AUTOMORPHISM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, construction methods for formally self-dual codes are generalized in the form of block lambda-circulant matrices. The constructions are applied over the rings F-2, R-1 = F-2 + uF(2) and S = F-2[u]/(u(3) - 1). Using n-block lambda-circulant matrices for suitable integers n and units lambda, many binary FSD codes (as Gray images) with a higher minimum distance than best known self-dual codes of lengths 34, 40, 44, 54, 58, 70, 72 and 74 were obtained. In particular, ten new even FSD [72, 36, 14] codes were constructed together with eight new near-extremal FSD even codes of length 44 and twenty-five new near-extremal FSD even codes of length 36.
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页码：91 / 105
页数：15
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