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.
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页数：17
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