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On certain blocking sets and the minimum weight of the code of generalised polygons

2025/11/10 by Petit, Sebastian, Geertrui Van de Voorde, Van de Voorde, Geertrui · 1 citation
Computer Science · Engineering · #51E12 #Cellular Automata and Applications #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2511.07697

openalex publication_date 2025/11/10 · openalex created_date 2025/11/13 · openalex updated_date 2026/07/28

Abstract

In this paper, we study and characterise certain blocking sets in generalised polygons. This will allow us to derive new results about the minimum weight and minimum weight code words in the code generated by the rows of the incidence matrix of a generalised polygon over a field F.

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