l-LCP of codes and their applications to EAQEC codes

被引：6
|
作者：
Liu, Jie [1 ]
Liu, Xiusheng [2 ]
机构：
[1] Hubei Polytech Univ, Sch Med, Huangshi 435003, Hubei, Peoples R China
[2] Hubei Normal Univ, Coll Arts & Sci, Sch Sci & Technol, Huangshi 435109, Hubei, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2023年 / 22卷 / 05期
关键词：
l-LCP of codes; Constacylic codes; Generator polynomials; WMDS EAQEC codes; LINEAR CODES;
D O I：
10.1007/s11128-023-03932-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we first generalize the complementary pair of codes over finite fields to an l-linear complementary pair (l-LCP) of codes. Then two criteria of l-LCP of codes over finite fields are obtained. We especially investigate l-LCP of constacyclic codes. When C and D are all ?-constacyclic codes, we obtain a characterization of (C, D) to be l-LCP of codes. When C and D are cyclic and negacyclic codes, we give a sufficient condition of (C, D) to be l-LCP of codes. As an application, by means of the l-LCP of codes over finite fields, we exhibit two methods of constructing entanglement assisted quantum error correcting (EAQEC) codes. Notably, the parameters of our EAQEC codes are new and flexible.
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页数：16
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