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An application of constacyclic codes to entanglement-assisted quantum MDS codes

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dc.contributor.authorSari, Mustafa
dc.contributor.authorKolotoglu, Emre
dc.date.accessioned2026-06-27T14:20:36Z
dc.date.issued2019
dc.description.abstractThe constructions of entanglement-assisted quantum codes have been studied intensively by researchers. Nevertheless, it is hard to determine the number of shared pairs required for constructing entanglement-assisted quantum codes from linear codes. In this paper, by making use of the notion of decomposition for defining sets of constacyclic codes, we construct several new families of entanglement-assisted quantum MDS codes from constacyclic codes, some of which are of minimum distances greater than q + 1. Moreover, we tabulate their parameters to illustrate what we find in this paper.en
dc.description.urihttps://doi.org/10.1007/s40314-019-0837-1
dc.identifier.doi10.1007/s40314-019-0837-1
dc.identifier.eissn1807-0302
dc.identifier.issn2238-3603
dc.identifier.issue2
dc.identifier.urihttps://hdl.handle.net/20.500.14981/59484
dc.identifier.volume38
dc.identifier.wos000462290300002
dc.language.isoeng
dc.publisherSPRINGER HEIDELBERG
dc.relation.ispartofCOMPUTATIONAL & APPLIED MATHEMATICS
dc.subjectEntanglement-assisted quantum codes
dc.subjectConstacyclic codes
dc.subjectDefining sets
dc.subjectDISTANCE
dc.subjectMathematics
dc.titleAn application of constacyclic codes to entanglement-assisted quantum MDS codes
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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