%0 Journal Article %T A new proof of Delsarte, Goethals and Mac Williams theorem on minimal weight codewords of generalized Reed-Muller code %A Elodie Leducq %J Mathematics %D 2010 %I arXiv %X We give a new proof of Delsarte, Goethals and Mac williams theorem on minimal weight codewords of generalized Reed-Muller codes published in 1970. To prove this theorem, we consider intersection of support of minimal weight codewords with affine hyperplanes and we proceed by recursion. %U http://arxiv.org/abs/1001.2554v1