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.
引用
收藏
页码：1 / 14
页数：14
相关论文
共 50 条
  • [21] Constacyclic codes over mixed alphabets and their applications in constructing new quantum codes
    Hai Q. Dinh
    Sachin Pathak
    Tushar Bag
    Ashish Kumar Upadhyay
    Woraphon Yamaka
    Quantum Information Processing, 2021, 20
  • [22] Application of Constacyclic Codes to Quantum MDS Codes
    Chen, Bocong
    Ling, San
    Zhang, Guanghui
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2015, 61 (03) : 1474 - 1484
  • [23] Quantum codes from a class of constacyclic codes over finite commutative rings
    Hai Q Dinh
    Bag, Tushar
    Upadhyay, Ashish K.
    Ashraf, Mohammad
    Mohammad, Ghulam
    Chinnakum, Warattaya
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (12)
  • [24] Nonbinary quantum codes from constacyclic codes over polynomial residue rings
    Yongsheng Tang
    Ting Yao
    Zhonghua Sun
    Shixin Zhu
    Xiaoshan Kai
    Quantum Information Processing, 2020, 19
  • [25] Constacyclic codes over mixed alphabets and their applications in constructing new quantum codes
    Dinh, Hai Q.
    Pathak, Sachin
    Bag, Tushar
    Upadhyay, Ashish Kumar
    Yamaka, Woraphon
    QUANTUM INFORMATION PROCESSING, 2021, 20 (04)
  • [26] On quantum codes obtained from cyclic codes over A2
    Dertli, Abdullah
    Cengellenmis, Yasemin
    Eren, Senol
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2015, 13 (03)
  • [27] NEW QUANTUM CODES FROM CONSTACYCLIC CODES OVER THE RING Rk,m
    Islam, Habibul
    Prakash, Om
    Verma, Ram Krishna
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2022, 16 (01) : 17 - 35
  • [28] Codes over Zm
    Abualrub, Taher
    Korean Journal of Computational & Applied Mathematics, 1998, 5 (01): : 99 - 109
  • [29] ON CODES OVER ZM
    WASAN, SK
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1982, 28 (01) : 117 - 120
  • [30] Quantum Codes Obtained from Some Constacyclic Codes Over a Family of Finite Rings Fp+uFp+vFp
    Dertli, Abdullah
    Cengellenmis, Yasemin
    MATHEMATICS IN COMPUTER SCIENCE, 2020, 14 (02) : 437 - 441
12345