Self-dual codes over F2 x (F2 + vF2)

被引：0
|
作者：
Aksoy, Refia [1 ]
Caliskan, Fatma [2 ]
机构：
[1] Istanbul Univ, Inst Grad Studies Sci, Istanbul, Turkey
[2] Istanbul Univ, Fac Sci, Dept Math, Istanbul, Turkey
来源：
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2021年 / 13卷 / 01期
关键词：
Codes over direct product rings; Minimum distance; Self-dual codes; Generator matrix;
D O I：
10.1007/s12095-020-00461-z
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this study we consider Euclidean and Hermitian self-dual codes over the direct product ring F-2 x (F-2 + vF(2)) where v(2) = v. We obtain some theoretical outcomes about self-dual codes via the generator matrices of free linear codes over F-2 x(F-2 + vF(2)). Also, we obtain upper bounds on the minimum distance of linear codes for both the Lee distance and the Gray distance. Moreover, we find some free Euclidean and free Hermitian self-dual codes over F-2 x (F-2 + vF(2)) via some useful construction methods.
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页码：129 / 141
页数：13
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