Abstract
No AccessRepeated-root bidimensional (μ, ν)-constacyclic codes of length 4pt.2rShikha Patel and Om PrakashShikha PatelDepartment of Mathematics, Indian Institute of Technology Patna, Patna-801106, India and Om PrakashDepartment of Mathematics, Indian Institute of Technology Patna, Patna-801106, IndiaPublished Online:October 13, 2020pp 266-289https://doi.org/10.1504/IJICOT.2020.110738PDF ToolsAdd to FavouritesDownload CitationsTrack Citations Share this article on social mediaShareShare onFacebookTwitterLinkedInReddit AboutAbstractLet p be an odd prime. The main concern of this article is to study all the repeated-root bidimensional (μ, ν)-constacyclic codes of length 4pt.2r over the finite field 𝔽pm. Here, we provide all the self-dual repeated-root bidimensional (1, 1)-constacyclic and (−1, 1)-constacyclic codes of length 4pt.2r over 𝔽pm. We also discuss the repeated-root bidimensional (η, 1)-constacyclic codes of length 4pt.2r over 𝔽pm. Moreover, it has been shown that these structures are useful in the construction of linear complementary dual (LCD) codes and self-dual codes. As an example, we are listed all the repeated-root bidimensional (μ, ν)-constacyclic codes of length 72 over the finite field 𝔽27.Keywordscyclic codes, constacyclic codes, two-dimensional constacyclic codes, dual codes, LCD codes, repeated-root codes Previous article Next article FiguresReferencesRelatedDetails Volume 5Issue 3-42020 ISSN: 1753-7703eISSN: 1753-7711 HistoryPublished onlineOctober 13, 2020 Copyright © 2020 Inderscience Enterprises Ltd.Keywordscyclic codesconstacyclic codestwo-dimensional constacyclic codesdual codesLCD codesrepeated-root codesAuthors and AffiliationsShikha Patel1 Om Prakash2 1. Department of Mathematics, Indian Institute of Technology Patna, Patna-801106, India2. Department of Mathematics, Indian Institute of Technology Patna, Patna-801106, IndiaPDF download
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