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

被引:20
作者
Sari, Mustafa [1 ]
Kolotoglu, Emre [1 ]
机构
[1] Yildiz Tech Univ, Dept Math, TR-34220 Esenler, Turkey
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
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页数:13
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