On quantum codes obtained from cyclic codes over A2

被引：59

作者：

Dertli, Abdullah ^{[1
]}

Cengellenmis, Yasemin ^{[2
]}

Eren, Senol ^{[1
]}

机构：

[1] Ondokuz Mayis Univ, Dept Math, Fac Arts & Sci, Samsun, Turkey

[2] Trakya Univ, Fac Arts & Sci, Dept Math, Edirne, Turkey

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2015年 / 13卷 / 03期

关键词：

Quantum codes; cyclic codes; finite rings;

D O I：

10.1142/S0219749915500318

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, quantum codes from cyclic codes over A(2) = F-2 + uF(2) + vF(2) + uvF(2), u(2) = u, v(2) = v, uv = vu, for arbitrary length n have been constructed. It is shown that if C is self orthogonal over A(2), then so is Psi(C), where Psi is a Gray map. A necessary and sufficient condition for cyclic codes over A(2) that contains its dual has also been given. Finally, the parameters of quantum error correcting codes are obtained from cyclic codes over A(2).

引用

页数：9

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