Two dimensional double cyclic codes over finite fields

被引：0
|
作者：
Hajiaghajanpour, Niloufar [1 ]
Khashyarmanesh, Kazem [1 ]
机构：
[1] Ferdowsi Univ Mashhad, Dept Pure Math, POB 1159-91775, Mashhad, Iran
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2025年 / 36卷 / 02期
关键词：
Two-dimensional cyclic code; Double cyclic code; Cyclic code; QUASI-TWISTED CODES; STRUCTURAL-PROPERTIES;
D O I：
10.1007/s00200-023-00595-6
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A linear code C of length n = ru + sv is a two-dimensional IF-double cyclic code if the set of coordinates can be partitioned into two arrays, such that any cyclic row shifts and column-shifts of both arrays of a codeword is also a codeword. In this paper, we examine the algebraic structure of these codes and their dual codes in general. Moreover, we are interested in finding out a generating set for these codes (and their dual codes) in case when u = 2, v = 4 and char(F) &NOTEQUexpressionL; 2.
引用
收藏
页码：107 / 131
页数：25
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