Name
Abstract | ||
|---|---|---|
We consider the notion of a (q, m)-polymatroid, due to Shiromoto, and the more general notion of (q, m)-demi-polymatroid, 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 Martinez-Penas and Matsumoto for relative generalized rank weights are derived as a consequence. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s10623-020-00798-9 | DESIGNS CODES AND CRYPTOGRAPHY |
Keywords | DocType | Volume |
Rank metric code, generalized weight, polymatroid, Wei duality | Journal | 88 |
Issue | ISSN | Citations |
12 | 0925-1022 | 1 |
PageRank | References | Authors |
0.35 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sudhir R. Ghorpade | 1 | 80 | 12.16 |
| Trygve Johnsen | 2 | 33 | 7.94 |