QUANTUM CODES OBTAINED THROUGH (1- 2 ??)-CONSTACYCLIC CODES OVER Zm

被引：0
|
作者：
Pinki [1 ]
Yadav, Sangita [2 ]
Singh, Balveer [3 ]
Mor, Prateek [4 ]
机构：
[1] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, India
[2] S K Govt Coll Kanwali, Rewari 123401, India
[3] Lords Univ, Dept Math, Alwar 301001, India
[4] Govt Coll Israna, Dept Math, Panipat 132103, India
来源：
ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS | 2023年 / 38卷 / 01期
关键词：
cyclic codes; constacyclic codes; Gray map; finite rings; quantum codes; CYCLIC CODES; CONSTACYCLIC CODES;
D O I：
10.17654/0974165823015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present work, we discuss the quantum codes over the ring Zm, m is power of some odd prime. Quantum codes are obtained through (1 - 2 nu omega)-constacyclic codes over a finite non-chain ring Zm + nu Zm + omega Zm + nu omega Zm with nu 2 = nu omega 2 = omega and , nu 2 omega 2 = nu omega . (1 - 2 nu omega)-constacyclic codes over the ring Zm + nu Zm + omega Zm + nu omega Zm are decomposed into two codes over the ring Zm in order to obtain the parameters for the corresponding quantum codes over the ring Zm. Some examples of quantum codes are also provided to verify the results.
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页码：1 / 14
页数：14
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