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On the number of ℤp-double cyclic codes and quasi cyclic codes

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dc.contributor.authorAbualrub, Taher
dc.contributor.authorAydogdu, Ismail
dc.contributor.authorKhashyarmanesh, Kazem
dc.contributor.authorYildiz, Eda
dc.date.accessioned2026-06-27T14:54:44Z
dc.date.issued2024
dc.description.abstractIn this paper, we study the class of & Zopf;(p)-double cyclic codes of length n = r + s. We give a closed formula for the number of & Zopf;(p) -double cyclic codes of length n = r + s, for any integers r and s that are relatively prime to p. Moreover, we give a closed formula for the number of quasi-cyclic (QC) codes of length n = 2s and index 2. We also provide formulas for the number of separable and non-separable & Zopf;(p)-double cyclic codes of length n. In order to illustrate the results, we calculate the number of some codes with different r and s. Moreover, we list optimal parameter & Zopf;(2)-double cyclic codes for specific values of r and s.en
dc.description.urihttps://doi.org/10.1142/s0219498824502153
dc.identifier.doi10.1142/s0219498824502153
dc.identifier.eissn1793-6829
dc.identifier.issn0219-4988
dc.identifier.issue13
dc.identifier.urihttps://hdl.handle.net/20.500.14981/66119
dc.identifier.volume23
dc.identifier.wos001022844600004
dc.language.isoeng
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.relation.ispartofJOURNAL OF ALGEBRA AND ITS APPLICATIONS
dc.subject& Zopf
dc.subject(2-)double cyclic codes
dc.subjectp-double cyclic codes
dc.subjectquasi-cyclic codes
dc.subjectseparable
dc.subjectnon-separable codes
dc.subjectMathematics
dc.titleOn the number of ℤp-double cyclic codes and quasi cyclic codes
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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