A note on linear complementary pairs of group codes

被引：9
|
作者：
Borello, Martino [1 ]
de la Cruz, Javier [2 ]
Willems, Wolfgang [2 ,3 ]
机构：
[1] Univ Paris 08, Lab Geometrie Anal & Applicat, Univ Sorbonne Paris Nord, LAGA,CNRS,UMR 7539, F-93430 Villetaneuse, France
[2] Univ Norte, Barranquilla, Colombia
[3] Otto von Guericke Univ, Magdeburg, Germany
来源：
DISCRETE MATHEMATICS | 2020年 / 343卷 / 08期
关键词：
Group code; Linear complementary pair (LCP);
D O I：
10.1016/j.disc.2020.111905
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a short and elementary proof of the fact that for a linear complementary pair (C, D), where C and D are 2-sided ideals in a group algebra, D is uniquely determined by C and the dual code D-perpendicular to is permutation equivalent to C. This includes earlier results of Carlet (2018) and aineri (2018) on nD cyclic codes which have been proved by subtle and lengthy calculations in the space of polynomials. (C) 2020 Elsevier B.V. All rights reserved.
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页数：3
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