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· 2025 · arXiv 2503.06830

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math.CO 1

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2026 1

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Representability of $q$-matroids via rank-metric codes

math.CO · 2026-05-15 · unverdicted · novelty 6.0

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.

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  • Representability of $q$-matroids via rank-metric codes math.CO · 2026-05-15 · unverdicted · none · ref 21

    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.