The minimum Hamming distances of repeated-root cyclic codes of length $$6p^s$$ and their MDS codes

2020 ◽  
Author(s):  
Ying Gao ◽  
Qin Yue ◽  
Fengwei Li
Keyword(s):  
Cyclic Codes ◽  
Mds Codes

scholarly journals Two Families of Entanglement-Assisted Quantum MDS Codes from Cyclic Codes

2021 ◽  
Author(s):  
Liangdong Lu ◽  
Wenping Ma ◽  
Ruihu Li ◽  
Hao Cao ◽  
Jinshen Ren
Keyword(s):  
Cyclic Codes ◽  
Mds Codes ◽  
Quantum Mds Codes

Pseudo-cyclic Codes and the Construction of Quantum MDS Codes

2016 ◽  
Vol 62 (4) ◽  
pp. 1703-1710 ◽  
Author(s):  
Shuxing Li ◽  
Maosheng Xiong ◽  
Gennian Ge
Keyword(s):  
Cyclic Codes ◽  
Mds Codes ◽  
Quantum Mds Codes

Entanglement-assisted quantum MDS codes from cyclic codes

2020 ◽  
Vol 19 (2) ◽  
Author(s):  
Liqi Wang ◽  
Shixin Zhu ◽  
Zhonghua Sun
Keyword(s):  
Cyclic Codes ◽  
Mds Codes ◽  
Quantum Mds Codes

scholarly journals LCD MDS Codes From Cyclic Codes

2019 ◽  
Vol 154 ◽  
pp. 663-668
Author(s):  
Qiang Fu ◽  
Rui Hu Li ◽  
Luo Bin Guo
Keyword(s):  
Cyclic Codes ◽  
Mds Codes

A Large Class of p-Ary Cyclic Codes and Sequence Families

2010 ◽  
Vol E93-A (11) ◽  
pp. 2272-2277
Author(s):  
Zhengchun ZHOU ◽  
Xiaohu TANG ◽  
Udaya PARAMPALLI
Keyword(s):  
Large Class ◽  
Cyclic Codes

A Family of q-Ary Cyclic Codes with Optimal Parameters

2020 ◽  
Vol E103.A (3) ◽  
pp. 631-633
Author(s):  
Wenhua ZHANG ◽  
Shidong ZHANG ◽  
Yong WANG ◽  
Jianpeng WANG
Keyword(s):  
Cyclic Codes ◽  
Optimal Parameters

A class of constacyclic codes over the ring Z4[u,v]/ and their Gray images

Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2237-2248 ◽  
Author(s):  
Habibul Islam ◽  
Om Prakash
Keyword(s):  
Cyclic Codes ◽  
Constacyclic Codes ◽  
Gray Maps ◽  
Permutation Equivalent ◽  
Quasi Cyclic Codes

In this paper, we study (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes over the ring Z4 + uZ4 + vZ4 + uvZ4 where u2 = v2 = 0,uv = vu. We define some new Gray maps and show that the Gray images of (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes are cyclic, quasi-cyclic and permutation equivalent to quasi-cyclic codes over Z4. Further, we determine the structure of (1 + 2u + 2v)-constacyclic codes of odd length n.

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