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dc.contributor.authorGhorpade, Sudhir R
dc.contributor.authorJohnsen, Trygve
dc.date.accessioned2021-01-08T14:22:53Z
dc.date.available2021-01-08T14:22:53Z
dc.date.issued2020-09-15
dc.description.abstractWe consider the notion of a (<i>q,m)</i>-polymatroid, due to Shiromoto, and the more general notion of (<i>q,m</i>)-demi-polymatroids, and show how generalized weights can be defined for them. Further, we establish a duality for these weights analogous to Wei duality for generalized Hamming weights of linear codes. The corresponding results of Ravagnani for Delsarte rank metric codes, and Martínez-Peñas and Matsumoto for relative generalized rank weights are derived as a consequence.en_US
dc.identifier.citationGhorpade SR, Johnsen T. A polymatroid approach to generalized weights of rank metric codes. Designs, Codes and Cryptography. 2020;88(12):2531-2546
dc.identifier.cristinIDFRIDAID 1830288
dc.identifier.doi10.1007/s10623-020-00798-9
dc.identifier.issn0925-1022
dc.identifier.issn1573-7586
dc.identifier.urihttps://hdl.handle.net/10037/20245
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.relation.journalDesigns, Codes and Cryptography
dc.relation.projectIDNorges forskningsråd: 280731
dc.rights.holderCopyright 2020 The Author(s)en_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.titleA polymatroid approach to generalized weights of rank metric codesen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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