Parameters for Sets of Type (m, n) in Projective Planes of Prime Power Order

A set S ofkpoints in a projective plane of orderqis of type (m, n) if each line meets S in eithermornpoints. The parameters are standard ifq=a2fora=n−m. In this note we give a method for determining all admissible non-standard parameters for a givenmandqa prime power.

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Veröffentlicht in:Journal of combinatorial theory. Series A 1999-05, Vol.86 (2), p.395-400
Hauptverfasser: Biliotti, Mauro, Francot, Eliana
Format: Artikel
Sprache:eng
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Zusammenfassung:A set S ofkpoints in a projective plane of orderqis of type (m, n) if each line meets S in eithermornpoints. The parameters are standard ifq=a2fora=n−m. In this note we give a method for determining all admissible non-standard parameters for a givenmandqa prime power.
ISSN:0097-3165
1096-0899
DOI:10.1006/jcta.1998.2935