NEW NON-BINARY QUANTUM CODES FROM CONSTACYCLIC CODES OVER Fq[u,v]/⟨u2-1, v2 - v, uu - vu)

被引：41

作者：

Ma, Fanghui ^{[1
,2
]}

Gao, Jian ^{[3
,4
,5
]}

Fu, Fang-Wei ^{[1
,2
]}

机构：

[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

[3] Shandong Univ Technol, Sch Math & Stat, Zibo 255091, Shandong, Peoples R China

[4] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Hubei, Peoples R China

[5] Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2019年 / 13卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Constacyclic codes; Gray map; new non-binary quantum codes; CYCLIC CODES; CONSTRUCTION;

D O I：

10.3934/amc.2019027

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let R = F-q[u, v11 < u(2) - 1, v2 v, uv - vu)> be a finite non-chain ring, where q is an odd prime power and u(2) = 1, v(2) = v, uv = vu. In this paper, we construct new non-binary quantum codes from (alpha + beta u + gamma v + delta uv)-constacyclic codes over R. We give the structure of (alpha + beta u + gamma v + delta uv)-constacyclic codes over R and obtain self-orthogonal codes over F-q by Gray map. By using Calderbank-Shor-Steane (CSS) construction and Hermitian construction from dual-containing alpha + beta u + gamma v + delta uv)-constacyclic codes over R, some new non-binary quantum codes are obtained.

引用

页码：421 / 434

页数：14

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