On the algebraic structure of quasi-cyclic codes II : chain rings

The ring decomposition technique of part I is extended to the case when the factors in the direct product decomposition are no longer fields but arbitrary chain rings. This includes not only the case of quasi-cyclic codes over rings but also the case of quasi-cyclic codes over fields whose co-index...

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Main Authors:	Ling, San, Sole, Patrick
Other Authors:	School of Physical and Mathematical Sciences
Format:	Article
Language:	English
Published:	2013
Subjects:	DRNTU::Engineering::Computer science and engineering::Computing methodologies::Symbolic and algebraic manipulation
Online Access:	https://hdl.handle.net/10356/96415 http://hdl.handle.net/10220/9833
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-96415
record_format	dspace
spelling	sg-ntu-dr.10356-964152023-02-28T19:40:22Z On the algebraic structure of quasi-cyclic codes II : chain rings Ling, San Sole, Patrick School of Physical and Mathematical Sciences DRNTU::Engineering::Computer science and engineering::Computing methodologies::Symbolic and algebraic manipulation The ring decomposition technique of part I is extended to the case when the factors in the direct product decomposition are no longer fields but arbitrary chain rings. This includes not only the case of quasi-cyclic codes over rings but also the case of quasi-cyclic codes over fields whose co-index is no longer prime to the characteristic of the field. A new quaternary construction of the Leech lattice is derived. Accepted version 2013-04-18T06:58:08Z 2019-12-06T19:30:21Z 2013-04-18T06:58:08Z 2019-12-06T19:30:21Z 2003 2003 Journal Article Ling, S., & Solé, P. (2003). On the Algebraic Structure of Quasi-cyclic Codes II: Chain Rings Designs. Codes and Cryptography, 30(1), 113-130. 09251022 https://hdl.handle.net/10356/96415 http://hdl.handle.net/10220/9833 10.1023/A:1024715527805 en Designs, codes and cryptography © 2003 Springer, Part of Springer Science+Business Media. This is the author created version of a work that has been peer reviewed and accepted for publication by Designs, Codes and Cryptography, Springer, Part of Springer Science+Business Media. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1023/A:1024715527805]. application/pdf
institution	Nanyang Technological University
building	NTU Library
continent	Asia
country	Singapore Singapore
content_provider	NTU Library
collection	DR-NTU
language	English
topic	DRNTU::Engineering::Computer science and engineering::Computing methodologies::Symbolic and algebraic manipulation
spellingShingle	DRNTU::Engineering::Computer science and engineering::Computing methodologies::Symbolic and algebraic manipulation Ling, San Sole, Patrick On the algebraic structure of quasi-cyclic codes II : chain rings
description	The ring decomposition technique of part I is extended to the case when the factors in the direct product decomposition are no longer fields but arbitrary chain rings. This includes not only the case of quasi-cyclic codes over rings but also the case of quasi-cyclic codes over fields whose co-index is no longer prime to the characteristic of the field. A new quaternary construction of the Leech lattice is derived.
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Ling, San Sole, Patrick
format	Article
author	Ling, San Sole, Patrick
author_sort	Ling, San
title	On the algebraic structure of quasi-cyclic codes II : chain rings
title_short	On the algebraic structure of quasi-cyclic codes II : chain rings
title_full	On the algebraic structure of quasi-cyclic codes II : chain rings
title_fullStr	On the algebraic structure of quasi-cyclic codes II : chain rings
title_full_unstemmed	On the algebraic structure of quasi-cyclic codes II : chain rings
title_sort	on the algebraic structure of quasi-cyclic codes ii : chain rings
publishDate	2013
url	https://hdl.handle.net/10356/96415 http://hdl.handle.net/10220/9833
_version_	1759856416009486336

On the algebraic structure of quasi-cyclic codes II : chain rings

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