matroid database

Enumerations of matroids by (n, r), where n is the number of elements and r is the rank.

• n10r04 — 4,886,380,924 matroids on 10 elements of rank 4
• n10r05 — 3,222,227,959,444 matroids on 10 elements of rank 5
• n10r06 — 4,886,380,924 matroids on 10 elements of rank 6
• n13r03 — 9,156,392,629 matroids on 13 elements of rank 3

Tooling for downloading and reading the data is available at matroid-database-client.