Sudhir R. Ghorpade

On the Minimum Distance, Minimum Weight Codewords, and the Dimension of Projective Reed-Muller Codes

2023 · arXiv (Cornell University)

We give an alternative proof of the formula for the minimum distance of a projective Reed-Muller code of an arbitrary order. It leads to a complete characterization of the minimum weight codewords of a projective …