Article ID Journal Published Year Pages File Type
4583059 Finite Fields and Their Applications 2012 6 Pages PDF
Abstract

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 the intersection of the support of minimal weight codewords with affine hyperplanes and we proceed by recursion.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory