On the spectrum of non-Denniston maximal arcs in PG(2, 2\(^{h}\)).

DOI10.1016/j.ejc.2003.07.006zbMath1074.51004OpenAlexW2063944845MaRDI QIDQ1427438

Nicholas Hamilton, Rudolf A. Mathon

Publication date: 14 March 2004

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2003.07.006

zbMATH Keywords

maximal arcs

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Blocking sets, ovals, (k)-arcs (51E21) Combinatorial structures in finite projective spaces (51E20)

Related Items (11)

On Mathon's construction of maximal arcs in Desarguesian planes. II ⋮ Some new two-weight ternary and quinary codes of lengths six and twelve ⋮ Finite Bolyai-Lobachevskii planes ⋮ A geometric approach to Mathon maximal arcs ⋮ Linear codes from Denniston maximal arcs ⋮ Maximal arcs and extended cyclic codes ⋮ On the number of pairwise non-isomorphic minimal blocking sets in \(\mathrm{PG}(2,q)\) ⋮ Maximal arcs, codes, and new links between projective planes of order 16 ⋮ Maximal arcs in PG(2, q) and partial flocks of the quadratic cone ⋮ Maximal arcs in projective planes of order 16 and related designs ⋮ On partial geometries arising from maximal arcs

Cites Work

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• Maximal arcs in Desarguesian planes of odd order do not exist
• New maximal arcs in Desarguesian planes
• Degree 8 maximal arcs in PG\((2,2^{h}\)), \(h\) odd
• Explicit evaluation of certain exponential sums.
• More maximal arcs in Desarguesian projective planes and their geometric structure
• Some maximal arcs in finite projective planes

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