Polyadic Constacyclic Codes

For any given positive integer m, a necessary and sufficient condition for the existence of Type-I m-adic constacyclic codes is given. Further, for any given integer s, a necessary and sufficient condition for s to be a multiplier of a Type-I polyadic constacyclic code is given. As an application, s...

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Main Authors:	Chen, Bocong, Dinh, Hai Quang, Fan, Yun, Ling, San
Other Authors:	School of Physical and Mathematical Sciences
Format:	Article
Language:	English
Published:	2015
Subjects:	DRNTU::Science::Mathematics::Applied mathematics::Information theory Polyadic constacyclic code p-adic valuation
Online Access:	https://hdl.handle.net/10356/103520 http://hdl.handle.net/10220/38325
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Institution:	Nanyang Technological University
Language:	English

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spelling	sg-ntu-dr.10356-1035202023-02-28T19:44:20Z Polyadic Constacyclic Codes Chen, Bocong Dinh, Hai Quang Fan, Yun Ling, San School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Applied mathematics::Information theory Polyadic constacyclic code p-adic valuation For any given positive integer m, a necessary and sufficient condition for the existence of Type-I m-adic constacyclic codes is given. Further, for any given integer s, a necessary and sufficient condition for s to be a multiplier of a Type-I polyadic constacyclic code is given. As an application, some optimal codes from Type-I polyadic constacyclic codes, including generalized Reed-Solomon codes and alternant MDS codes, are constructed. Accepted version 2015-07-14T07:24:57Z 2019-12-06T21:14:27Z 2015-07-14T07:24:57Z 2019-12-06T21:14:27Z 2015 2015 Journal Article Chen, B., Dinh, H. Q., Fan, Y., & Ling, S. (2015). Polyadic constacyclic codes. IEEE transactions on information theory, 61(9), 4895 - 4904. 0018-9448 https://hdl.handle.net/10356/103520 http://hdl.handle.net/10220/38325 10.1109/TIT.2015.2451656 186784 en IEEE transactions on information theory © 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [http://dx.doi.org/10.1109/TIT.2015.2451656]. 23 p. 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::Science::Mathematics::Applied mathematics::Information theory Polyadic constacyclic code p-adic valuation
spellingShingle	DRNTU::Science::Mathematics::Applied mathematics::Information theory Polyadic constacyclic code p-adic valuation Chen, Bocong Dinh, Hai Quang Fan, Yun Ling, San Polyadic Constacyclic Codes
description	For any given positive integer m, a necessary and sufficient condition for the existence of Type-I m-adic constacyclic codes is given. Further, for any given integer s, a necessary and sufficient condition for s to be a multiplier of a Type-I polyadic constacyclic code is given. As an application, some optimal codes from Type-I polyadic constacyclic codes, including generalized Reed-Solomon codes and alternant MDS codes, are constructed.
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Chen, Bocong Dinh, Hai Quang Fan, Yun Ling, San
format	Article
author	Chen, Bocong Dinh, Hai Quang Fan, Yun Ling, San
author_sort	Chen, Bocong
title	Polyadic Constacyclic Codes
title_short	Polyadic Constacyclic Codes
title_full	Polyadic Constacyclic Codes
title_fullStr	Polyadic Constacyclic Codes
title_full_unstemmed	Polyadic Constacyclic Codes
title_sort	polyadic constacyclic codes
publishDate	2015
url	https://hdl.handle.net/10356/103520 http://hdl.handle.net/10220/38325
_version_	1759855921423450112

Polyadic Constacyclic Codes

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