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.
Gluesing-Luerssen and B
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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.