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A note on a gap in the proof of the minimum distance for Projective Reed-Muller Codes

2023/10/05 by Anders Bjært Sørensen, Sørensen, Anders Bjært
Computer Science · Engineering · Medicine · #Algebraic Geometry (math.AG) #Cancer Mechanisms and Therapy #Coding theory and cryptography #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2310.03574

openalex publication_date 2023/10/05 · openalex created_date 2023/10/08 · openalex updated_date 2026/08/03

Abstract

The note clarifies a gap in the proof of the minimum distance for Projective Reed-Muller Codes. The gap was identified by S.Ghorpade and R.Ludhani in a recent article. Here the original thoughts are explained and the gap closed.

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