Construction of optimal codes from a class of constacyclic codes

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01695-7 ◽

2022 ◽

Author(s):

Hai Q. Dinh ◽

Sampurna Satpati ◽

Abhay Kumar Singh

Keyword(s):

Constacyclic Codes ◽

Optimal Codes

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Hamming distances of constacyclic codes of length 3p and optimal codes with respect to the Griesmer and Singleton bounds

Finite Fields and Their Applications ◽

10.1016/j.ffa.2020.101794 ◽

2021 ◽

Vol 70 ◽

pp. 101794

Author(s):

Hai Q. Dinh ◽

Xiaoqiang Wang ◽

Hongwei Liu ◽

Woraphon Yamaka

Keyword(s):

Constacyclic Codes ◽

Optimal Codes

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(uλ-1)-constacyclic Codes of Arbitrary Lengths over the Ring Fq+uFq+…+uk-1Fq

JOURNAL OF ELECTRONICS INFORMATION TECHNOLOGY ◽

10.3724/sp.j.1146.2012.01257 ◽

2014 ◽

Vol 35 (5) ◽

pp. 1044-1048 ◽

Cited By ~ 1

Author(s):

Ping Li ◽

Shi-xin Zhu ◽

Xiao-shan Kai

Keyword(s):

Constacyclic Codes

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

Filomat ◽

10.2298/fil1908237i ◽

2019 ◽

Vol 33 (8) ◽

pp. 2237-2248 ◽

Cited By ~ 1

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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