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.
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页数：14
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