An explicit representation and enumeration for self-dual cyclic codes over F2m+uF2m of length 2s-Reference-Cited by-同舟云学术

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An explicit representation and enumeration for self-dual cyclic codes over F2m+uF2m of length 2s

Published:2019-07 Issue:7 Volume:342 Page:2077-2091
ISSN:0012-365X
Container-title:Discrete Mathematics
language:en
Short-container-title:Discrete Mathematics

Author:

Cao Yuan,Cao Yonglin^ORCID,Dinh Hai Q.^ORCID,Jitman Somphong^ORCID

Funder

National Natural Science Foundation of China

Shandong Provincial Natural Science Foundation, China

Scientific Research Fund of Hubei Provincial Key Laboratory of Applied Mathematics

Scientific Research Fund of Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering

Chiang Mai University, Thailand

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference19 articles.

1. Constacyclic codes over F2+uF2;Abualrub;J. Franklin Inst.,2009

2. On (1−u)-cyclic codes over Fpk+uFpk;Amerra;Appl. Math. Lett.,2008

3. Type II codes over F2m+uF2m;Betsumiya;Discrete Math.,2004

4. Cyclic codes and self-dual codes over F2+uF2;Bonnecaze;IEEE Trans. Inform. Theory,1999

5. Constacyclic codes of length nps over Fpm+uFpm;Cao;Adv. Math. Commun.,2018

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1. Optimal constructions of quantum and synchronizable codes from repeated-root cyclic codes of length $$3p^s$$;Quantum Information Processing;2023-06-24

2. On a class of skew constacyclic codes over mixed alphabets and applications in constructing optimal and quantum codes;Cryptography and Communications;2022-07-08

3. On the construction of self-dual cyclic codes over $$\mathbb {Z}_{4}$$ with arbitrary even length;Cryptography and Communications;2022-04-21

4. Constructing and expressing Hermitian self-dual cyclic codes of length $$p^s$$ over $${\mathbb {F}}_{p^m}+u{\mathbb {F}}_{p^m}$$;Applicable Algebra in Engineering, Communication and Computing;2022-04-19

5. Symbol-Pair Distances of Repeated-Root Negacyclic Codes of Length 2s over Galois Rings;Algebra Colloquium;2021-11-08

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