Cyclic codes over <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="normal">GR</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>p</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> of length <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>p</mml:mi><mml:mi>k</mml:mi></mml:msup></mml:math>-Reference-Cited by-同舟云学术

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Cyclic codes over GR(p2,m) of length pk

Published:2008-07 Issue:3 Volume:14 Page:834-846
ISSN:1071-5797
Container-title:Finite Fields and Their Applications
language:en
Short-container-title:Finite Fields and Their Applications

Author:

Kiah Han Mao,Leung Ka Hin,Ling San

Publisher

Elsevier BV

Subject

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

Reference5 articles.

1. On the generators of Z4 cyclic codes of length 2e;Abualrub;IEEE Trans. Inform. Theory,2003

2. Cyclic codes over Z4 of oddly even length;Blackford;Discrete Appl. Math.,2003

3. Cyclic codes over Z4 of even length;Dougherty;Des. Codes Cryptogr.,2006

4. On modular cyclic codes;Dougherty;Finite Fields Appl.,2007

5. Coding Theory: A First Course;Ling,2004

Cited by 44 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. Self dual and MHDR dual cyclic codes over finite chain rings;Cryptography and Communications;2024-08-03

2. MDS and MHDR Cyclic Codes over Finite Chain Rings;Journal of Mathematics;2024-01-25

3. Structure and Rank of a Cyclic Code over a Class of Nonchain Rings;Journal of Mathematics;2024-01-18

4. On the classification of ideals over $R[X]/\langle f(X)^{p^{s}}\rangle $ when $R=\mathbb {F}_{p^{m}}+u\mathbb {F}_{p^{m}}+\ldots +u^{n}\mathbb {F}_{p^{m}}$;Cryptography and Communications;2022-12-17

5. A Unique Representation of Cyclic Codes over GR(pn,r);Axioms;2022-10-01

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