Lee distance of cyclic and (1+uγ)-constacyclic codes of length 2s over F2m + uF2m

被引：3
|
作者：
Hai Q Dinh [1 ,2 ]
Kewat, Pramod Kumar [3 ]
Mondal, Nilay Kumar [3 ]
机构：
[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[3] Indian Sch Mines, Indian Inst Technol, Dept Math & Comp, Dhanbad 826004, Bihar, India
来源：
DISCRETE MATHEMATICS | 2021年 / 344卷 / 11期
关键词：
Lee distance; Cyclic codes; Constacyclic codes; Repeated-root codes; Finite chain ring; SELF-DUAL CODES; NEGACYCLIC CODES; II CODES; CONSTACYCLIC CODES; PREPARATA; WEIGHTS; KERDOCK; RINGS; Z(4);
D O I：
10.1016/j.disc.2021.112551
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let m be a positive integer, and gamma be a non-zero element of F-2m. The Lee distance of all cyclic codes and (1 + u gamma)-constacyclic codes of length 2(s) over F-2m + uF(2m) is completely determined. In particular, it is shown that the Lee distance of such codes is independent of the choice of a trace orthogonal basis of F-2m. (C) 2021 Elsevier B.V. All rights reserved.
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页数：13
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