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We describe an implementation of a computer search for the "small" excludedminors for a class of matroids representable over a partial field. Using thesetechniques, we enumerate the excluded minors on at most 15 elements for boththe class of dyadic matroids, and the class of 2-regular matroids. Weconjecture that there are no other excluded minors for the class of 2-regularmatroids; whereas, on the other hand, we show that there is a 16-elementexcluded minor for the class of dyadic matroids.

Computing excluded minors for classes of matroids representable over partial fields