Introduces (q,m)-polymatroid approach to higher supports and rank-weight enumerators of rank-metric codes, proving analogs of matroid cocircuit descriptions, Greene-type identities, mutual determination with support distributions, and MacWilliams-type identities.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.CO 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Introduces m-multilinear representability for q-matroids via rank-metric codes and derives non-representability theorems for uniform, almost uniform, and small finite-field q-matroids, noting no known purely multilinear examples.
citing papers explorer
-
Higher Rank-Support Weights and q-Polymatroids
Introduces (q,m)-polymatroid approach to higher supports and rank-weight enumerators of rank-metric codes, proving analogs of matroid cocircuit descriptions, Greene-type identities, mutual determination with support distributions, and MacWilliams-type identities.
-
Representability of $q$-matroids via rank-metric codes
Introduces m-multilinear representability for q-matroids via rank-metric codes and derives non-representability theorems for uniform, almost uniform, and small finite-field q-matroids, noting no known purely multilinear examples.