A new proof of Delsarte, Goethals and Mac Williams theorem on minimal weight codewords of generalized Reed-Muller code

Details A new proof of Delsarte, Goethals and Mac Williams theorem on minimal weight codewords of generalized Reed-Muller code A new proof of Delsarte, Goethals and Mac Williams theorem on minimal weight codewords of generalized Reed-Muller code

2010-01-14

arxiv.org/abs/1001.2554v1

Computer Science

Information Theory

Scientific paper

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.

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