%0 Journal Article %T Certifying Non-representability of Matroids Over Prime Fields %A Jim Geelen %A Geoff Whittle %J Mathematics %D 2011 %I arXiv %X It is proved that, for a prime number $p$, showing that an $n$-element matroid is not representable over $GF(p)$ requires only $O(n^2)$ rank evaluations. %U http://arxiv.org/abs/1101.4691v1