Characterizes binary matroids via their lattices of cyclic flats and proves that the cyclic flat lattice of a simple binary matroid without isthmuses is atomic.
Ball, On sets of vectors of a finite vector space in whic h every subset of basis size is a basis, Journal of the European Mathematical Society 14 (3) (2012) 7 33–748
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Cyclic Flats of Binary Matroids
Characterizes binary matroids via their lattices of cyclic flats and proves that the cyclic flat lattice of a simple binary matroid without isthmuses is atomic.