Construction and enumeration for self-dual cyclic codes of even length over F2m+uF2m-Reference-Cited by-同舟云学术

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Construction and enumeration for self-dual cyclic codes of even length over F2m+uF2m

Published:2020-01 Issue: Volume:61 Page:101598
ISSN:1071-5797
Container-title:Finite Fields and Their Applications
language:en
Short-container-title:Finite Fields and Their Applications

Author:

Cao Yuan,Cao Yonglin,Dinh Hai Q.,Fu Fang-Wei,Ma Fanghui

Funder

National Natural Science Foundation of China

Shandong Provincial Natural Science Foundation

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

Nankai Zhide Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference25 articles.

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

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

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

4. A class of 1-generator repeated root quasi-cyclic codes;Cao;Des. Codes Cryptogr.,2014

5. Repeated root cyclic Fq-linear codes over Fql;Cao;Finite Fields Appl.,2015

Cited by 21 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

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. 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

4. $$(\theta , \delta _\theta )$$-Cyclic codes over $$\mathbb {F}_q[u,v]/\langle u^2-u, v^2-v, uv-vu \rangle $$;Designs, Codes and Cryptography;2021-11-23

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

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