On symbol-pair distances of repeated-root constacyclic codes of length $$2p^s$$ over $${\mathbb {F}}_{p^m}+u{\mathbb {F}}_{p^m}$$ and MDS symbol-pair codes

Applicable Algebra in Engineering Communication and Computing ◽

10.1007/s00200-021-00534-3 ◽

2021 ◽

Author(s):

Hai Q. Dinh ◽

Abhay Kumar Singh ◽

Madhu Kant Thakur

Keyword(s):

Constacyclic 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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A new family of EAQMDS codes constructed from constacyclic codes

Designs Codes and Cryptography ◽

10.1007/s10623-021-00908-1 ◽

2021 ◽

Author(s):

Xiaojing Chen ◽

Shixin Zhu ◽

Wan Jiang ◽

Gaojun Luo

Keyword(s):

Constacyclic Codes ◽

New Family

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Repeated-Root Constacyclic Codes with Pair-Metric

IEEE Communications Letters ◽

10.1109/lcomm.2020.3041271 ◽

2020 ◽

pp. 1-1

Author(s):

Wei Zhao ◽

Shenghao Yang ◽

Kenneth W. Shum ◽

Xilin Tang

Keyword(s):

Constacyclic Codes

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Constructing MDS Galois self-dual constacyclic codes over finite fields

Discrete Mathematics ◽

10.1016/j.disc.2021.112388 ◽

2021 ◽

Vol 344 (6) ◽

pp. 112388

Author(s):

Jiafu Mi ◽

Xiwang Cao

Keyword(s):

Finite Fields ◽

Constacyclic Codes

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Constacyclic codes over mixed alphabets and their applications in constructing new quantum codes

Quantum Information Processing ◽

10.1007/s11128-021-03083-3 ◽

2021 ◽

Vol 20 (4) ◽

Author(s):

Hai Q. Dinh ◽

Sachin Pathak ◽

Tushar Bag ◽

Ashish Kumar Upadhyay ◽

Woraphon Yamaka

Keyword(s):

Quantum Codes ◽

Constacyclic 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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On Constacyclic codes over ℤpm

2014 5th Workshop on Codes, Cryptography and Communication Systems (WCCCS) ◽

10.1109/wcccs.2014.7107919 ◽

2014 ◽

Author(s):

Mohammed Elhassani Charkani ◽

Joel Kabore

Keyword(s):

Constacyclic Codes

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(1+λu)-Constacyclic codes over Fp[u]/〈um〉

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2010.02.003 ◽

2010 ◽

Vol 347 (5) ◽

pp. 751-762 ◽

Cited By ~ 25

Author(s):

Xiaoshan Kai ◽

Shixin Zhu ◽

Ping Li

Keyword(s):

Constacyclic Codes

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The homogeneous distance of $$(1+u^2)$$-constacyclic codes over $$\mathbb {F}_2[u]/\langle u^3\rangle $$ and its applications

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-020-01475-9 ◽

2021 ◽

Author(s):

Jian Ding ◽

Hongju Li ◽

Changlu Lin

Keyword(s):

Constacyclic Codes

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