Optimal Linear Codes Over the Field of Order 7

被引：0

作者：

Nomura, Keita ^{[1
]}

Maruta, Tatsuya ^{[1
]}

机构：

[1] Osaka Prefecture Univ, Dept Math Sci, Sakai, Osaka 5998531, Japan

来源：

PROCEEDINGS OF THE 2020 SEVENTEENTH INTERNATIONAL WORKSHOP ON ALGEBRAIC AND COMBINATORIAL CODING THEORY ALGEBRAIC AND COMBINATORIAL CODING THEORY (ACCT 2020): PROCEEDINGS OF THE SEVENTEENTH INTERNATIONAL WORKSHOP ON ALGEBRAIC AND COMBINATORIAL CODING THEORY ACCT 2020 | 2020年

关键词：

linear code; divisible code; projective dual;

D O I：

10.1109/ACCT51235.2020.9383246

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We construct some new linear codes over the field of order 7 to determine the exact value of the minimum length for which a linear code of dimension four with given minimum weight exists for some open cases. Most of the new codes are constructed as projective duals of some 7-divisible codes from some orbits of a projectivity in the projective space.

引用

页码：113 / 117

页数：5

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