All matroids over GF(4)
Every matroid ever to enter the record book. A current holder has the best verified α over one of GF(2), GF(3), GF(4), GF(5), GF(7), or reached 4/3; every other row is kept as history. Click a column header to sort; click again to reverse.
| matroid | n | rank | bases | α | ≈ | description | status | discovered by | submitter | submitted |
|---|---|---|---|---|---|---|---|---|---|---|
| #20 | 24 | 13 | 160,704 | 875/744 | 1.1761 | matrix GF(4) | GF(4) record | Yongxi (Aaron) Lin | Yongxi (Aaron) Lin | 2026-08-09 18:56:27 |
| #19 | 17 | 10 | 1,816 | 27/23 | 1.1739 | matrix GF(4) | history | Yongxi (Aaron) Lin | Yongxi (Aaron) Lin | 2026-08-09 18:40:08 |
| #14 | 25 | 13 | 661,932 | 2915/2484 | 1.1735 | matrix GF(4) | history | Jeewon Kim | Jeewon Kim | 2026-08-09 14:01:01 |
| #13 | 26 | 9 | 1,131,928 | 55752/48391 | 1.1521 | matrix GF(4) | history | Yongxi (Aaron) Lin | Yongxi (Aaron) Lin | 2026-08-09 08:11:58 |
| #5 | 18 | 5 | 3,392 | 8/7 | 1.1429 | matrix GF(4) | history | Construction: Huh–Schröter–Wang; instantiated over GF(4) for this site | David Renshaw | 2026-08-05 17:09:19 |