On Symbol-Pair Distance of a Class of Constacyclic Codes of Length 3ps over Fpm+uFpm

被引：1
|
作者：
Dinh, Hai Q. [1 ]
Thi, Hiep L. [2 ]
Tansuchat, Roengchai [3 ]
机构：
[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA
[2] Thu Dau Mot Univ, Fac Educ, Thu Dau Mot 75000, Binh Duong, Vietnam
[3] Chiang Mai Univ, Fac Econ, Chiang Mai 52000, Thailand
来源：
AXIOMS | 2023年 / 12卷 / 03期
关键词：
constacyclic codes; dual codes; chain rings; MDS codes; symbol-pair codes; CYCLIC CODES; PREPARATA; KERDOCK;
D O I：
10.3390/axioms12030254
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let p? 3 be any prime. In this paper, we compute symbol-pair distance of all ?-constacyclic codes of length 3p(s) over the finite commutative chain ring R = F(p)m + uF(p)m, where ? is a unit of R which is not a cube in F(p)m. We give the necessary and sufficient condition for a symbol-pair ?-constacyclic code to be an MDS symbol-pair code. Using that, we provide all MDS symbol-pair ?- constacyclic codes of length 3p(s) over R. Some examples of the symbol-pair distance of ?-constacyclic codes of length 3p(s) over R are provided.
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页数：13
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