NEW EXTREMAL BINARY SELF-DUAL CODES OF LENGTHS 66 AND 68 FROM CODES OVER Rk,m

被引：4

作者：

Kaya, Abidin ^{[1
]}

Tufekci, Nesibe ^{[1
]}

机构：

[1] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 01期

关键词：

extremal codes; codes over rings; Gray maps; quadratic double-circulant codes; AUTOMORPHISM;

D O I：

10.4134/BKMS.b150213

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, four circulant and quadratic double circulant (QDC) constructions are applied to the family of the rings R-k,R-m. Self dual binary codes are obtained as the Gray images of self-dual QDC codes over R-k,R-m. Extremal binary self-dual codes of length 64 are obtained as Gray images of lambda-four circulant codes over R-2,R-1 and R-2,R-2. Extremal binary self-dual codes of lengths 66 and 68 are constructed by applying extension theorems to the F-2 and R-2,R-1 images of these codes. More precisely, 10 new codes of length 66 and 39 new codes of length 68 are discovered. The codes with these weight enumerators are constructed for the first time in literature. The results are tabulated.

引用

页码：29 / 42

页数：14

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