Symplectic codes over a non-unitary ring

被引：0

作者：

Manseri, Sarra ^{[1
]}

Betty, Rowena Alma ^{[2
]}

Galvez, Lucky ^{[2
]}

Sole, Patrick ^{[3
]}

机构：

[1] Cent China Normal Univ, Wuhan 430079, Peoples R China

[2] Univ Philippines Diliman, Inst Math, Quezon City 1101, Philippines

[3] Univ Aix Marseille, CNRS, I2M, F-13009 Marseilles, France

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2025年

关键词：

Non-unitary rings; symplectic codes; additive F-4-code; mass formula;

D O I：

10.1142/S021949882541018X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the commutative non-unitary ring of order four defined as I = {a,b|2a = 0, 2b = 0,a(2) = b,ab = 0}. Self-orthogonal codes for a symplectic inner product over I are introduced. A mass formula to enumerate them under symplectic equivalence is given. An application is a classification of such codes in short lengths.

引用

页数：14