Quantum codes from skew constacyclic codes over the ring Fq[u, v]/⟨u2-1, v2-1, uv - vu⟩

被引：31

作者：

Bag, Tushar ^{[1
]}

Dinh, Hai Q. ^{[2
,3
]}

Upadhyay, Ashish K. ^{[1
]}

Bandi, Ramakrishna ^{[4
]}

Yamaka, Woraphon ^{[5
]}

机构：

[1] Indian Inst Technol Patna, Dept Math, Patna 801103, Bihar, India

[2] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam

[3] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[4] Int Inst Informat Technol Naya Raipur, Dept Math, Atal Nagar 493661, India

[5] Chiang Mai Univ, Fac Econ, Ctr Excellence Econometr, Chiang Mai 52000, Thailand

来源：

DISCRETE MATHEMATICS | 2020年 / 343卷 / 03期

关键词：

Skew constacyclic codes; Dual codes; Quantum error-correcting codes; CYCLIC CODES; CONSTRUCTION;

D O I：

10.1016/j.disc.2019.111737

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study uantum error-correcting codes from skew constacyclic codes over the ring R = F-q[u, v]/< u(2) - 1, v(2) - 1, uv - vu >, where q = p(m) for any odd prime p and positive integer m. We decompose skew constacyclic codes over the ring R as a direct sum of skew constacyclic codes over F-q. Self-dual skew constacyclic codes over the ring R are characterized. Necessary and sufficient conditions for skew negacyclic and skew constacyclic codes to be dual-containing are obtained. As an application, we construct new quantum error-correcting codes from skew constacyclic codes over F-q. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：17

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