On maximal arcs in projective Hjelmslev planes over chain rings of even characteristic (Q1779331)

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scientific article; zbMATH DE number 2173079
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On maximal arcs in projective Hjelmslev planes over chain rings of even characteristic
scientific article; zbMATH DE number 2173079

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    On maximal arcs in projective Hjelmslev planes over chain rings of even characteristic (English)
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    1 June 2005
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    By showing that hyperovals exist in the characteristic 4 case and do not exist in the characteristic 2 case, the authors prove that maximal \((k, 2)\)-arcs exist in finite projective Hjelmslev planes over chain rings \(R\) of nilpotency index 2 if and only if the characteristic of \(R\) is 4.
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    finite Hjelmslev projective planes
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    hyperovals
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    maximal arcs
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    linear codes
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