@article {IOPORT.01524969, author = {Rajpal, Sanjay}, title = {On binary $k$-paving matroids and Reed-Muller codes.}, year = {1998}, journal = {Discrete Mathematics}, volume = {190}, number = {1-3}, issn = {0012-365X}, pages = {191-200}, publisher = {Elsevier Science B.V. (North-Holland), Amsterdam}, doi = {10.1016/S0012-365X(98)00045-4}, abstract = {Summary: A matroid of rank $r\ge k$ is $k$-paving if all of its circuits have cardinality exceeding $r-k$. In this paper, we develop some basic results concerning $k$-paving matroids and their connections with codes. Also, we determine all binary 2-paving matroids.}, identifier = {01524969}, }