The mass formula for self-orthogonal and self-dual codes over a non-unitary commutative ring

被引：3

作者：

Alahmadi, Adel ^{[1
]}

Alshuhail, Altaf ^{[1
,2
]}

Sole, Patrick ^{[3
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Res Grp Algebra Struct & Applicat, Jeddah, Saudi Arabia

[2] Univ Hail, Fac Sci, Dept Math, Hail, Saudi Arabia

[3] Univ Aix Marseille, CNRS, Cent Marseille, I2M, Marseilles, France

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 10期

关键词：

non-unitary rings; self-dual codes; self-orthogonal codes; quasi self-dual codes; mass; formula;

D O I：

10.3934/math.20231242

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a mass formula for self-orthogonal codes, quasi self-dual codes, ( ) and self-dual codes over commutative non-unital rings Ip = a, b | pa = pb = 0, a2 = b, ab = 0 , where p is an odd prime. We also give a classification of the three said classes of codes over Ip where p = 3, 5, and 7, with lengths up to 3.

引用

页码：24367 / 24378

页数：12

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