<p>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 <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {F}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="double-struck">F</mi> </math></EquationSource> </InlineEquation>.</p>

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

  • Sebastian Petit,
  • Geertrui Van de Voorde

摘要

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 \(\mathbb {F}\) F .