An application of constacyclic codes to entanglement-assisted quantum MDS codes

被引：18

作者：

Sari, Mustafa ^{[1
]}

Kolotoglu, Emre ^{[1
]}

机构：

[1] Yildiz Tech Univ, Dept Math, TR-34220 Esenler, Turkey

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2019年 / 38卷 / 02期

关键词：

Entanglement-assisted quantum codes; Constacyclic codes; Defining sets; DISTANCE;

D O I：

10.1007/s40314-019-0837-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The constructions of entanglement-assisted quantum codes have been studied intensively by researchers. Nevertheless, it is hard to determine the number of shared pairs required for constructing entanglement-assisted quantum codes from linear codes. In this paper, by making use of the notion of decomposition for defining sets of constacyclic codes, we construct several new families of entanglement-assisted quantum MDS codes from constacyclic codes, some of which are of minimum distances greater than q + 1. Moreover, we tabulate their parameters to illustrate what we find in this paper.

引用

页数：13

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