New quantum MDS codes

被引：40

作者：

Zhang, Guanghui ^{[1
]}

Chen, Bocong ^{[2
]}

机构：

[1] Luoyang Normal Univ, Sch Math Sci, Luoyang 471022, Henan, Peoples R China

[2] Nanyang Technol Univ, Sch Phys & Math Sci, Singapore 637616, Singapore

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2014年 / 12卷 / 04期

关键词：

Quantum codes; quantum MDS codes; cyclotomic cosets; constacyclic codes;

D O I：

10.1142/S0219749914500191

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we construct two classes of new quantum maximum-distance-separable (MDS) codes with parameters [[q(2)-1/4, q(2)-1/4 - 2d + 2, d]](q), where q is an odd prime power with q = 3 (mod 4) and 2 <= d <= 3q-1/4; [[8(q - 1), 8(q - 1) - 2d + 2, d]](q), where q is an odd prime power with the form q = 8t - 1 (t is an even positive integer) and 2 <= d <= q+15/2. Comparing the parameters with all known quantum MDS codes, the quantum MDS codes exhibited here have minimum distances bigger than the ones available in the literature.

引用

页数：10

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