Z2[u]Z2[u]-Additive codes

被引：1
|
作者：
Shashirekha, G. [1 ]
Bhatta, G. R. Vadiraja [1 ]
Poojary, Prasanna [2 ]
机构：
[1] Manipal Inst Technol, Manipal Acad Higher Educ, Dept Math, Manipal, Karnataka, India
[2] Manipal Inst Technol Bengaluru, Manipal Acad Higher Educ, Dept Math, Manipal, Karnataka, India
来源：
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2024年
关键词：
Linear code; binary code; cyclic code; constacyclic code; Gray image; CONSTACYCLIC CODES;
D O I：
10.1142/S179383092350101X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study mixed alphabet codes over two alphabets Z(2), and its extension Z(2)[u] = Z(2) + uZ(2), u(2) = 0. We define new Gray maps, using which we study cyclic codes and obtain the properties of their generators. Further, we construct constacyclic codes, and linear codes, and observe the useful properties of their generators. Finally, we present some examples of cyclic codes and binary linear codes.
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页数：13
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