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.

引用

页码：91 / 105

页数：15

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