| dc.contributor.author | Ghorpade, Sudhir R | |
| dc.contributor.author | Johnsen, Trygve | |
| dc.date.accessioned | 2021-01-08T14:22:53Z | |
| dc.date.available | 2021-01-08T14:22:53Z | |
| dc.date.issued | 2020-09-15 | |
| dc.description.abstract | We 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.citation | Ghorpade SR, Johnsen T. A polymatroid approach to generalized weights of rank
metric codes. Designs, Codes and Cryptography. 2020;88(12):2531-2546 | |
| dc.identifier.cristinID | FRIDAID 1830288 | |
| dc.identifier.doi | 10.1007/s10623-020-00798-9 | |
| dc.identifier.issn | 0925-1022 | |
| dc.identifier.issn | 1573-7586 | |
| dc.identifier.uri | https://hdl.handle.net/10037/20245 | |
| dc.language.iso | eng | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.journal | Designs, Codes and Cryptography | |
| dc.relation.projectID | Norges forskningsråd: 280731 | |
| dc.rights.holder | Copyright 2020 The Author(s) | en_US |
| dc.subject | VDP::Mathematics and natural science: 400::Mathematics: 410 | en_US |
| dc.subject | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410 | en_US |
| dc.title | A polymatroid approach to generalized weights of rank
metric codes | en_US |
| dc.type.version | publishedVersion | en_US |
| dc.type | Journal article | en_US |
| dc.type | Tidsskriftartikkel | en_US |
| dc.type | Peer reviewed | en_US |
English
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