A correspondence is built between nondegenerate matrix rank-metric codes and geometric systems, producing Delsarte-type incidence identities plus applications to generalized weights and semifields.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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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
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The geometry of rank-metric codes
A correspondence is built between nondegenerate matrix rank-metric codes and geometric systems, producing Delsarte-type incidence identities plus applications to generalized weights and semifields.
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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.