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New Maximal Arcs in Desarguesian Planes

✍ Scribed by Rudolf Mathon

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
261 KB
Volume
97
Category
Article
ISSN
0097-3165

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✦ Synopsis

Constructions are described of maximal arcs in Desarguesian projective planes utilizing sets of conics on a common nucleus in PG(2, q). Several new infinite families of maximal arcs in PG(2, q) are presented and a complete enumeration is carried out for Desarguesian planes of order 16, 32, and 64. For each arc we list the order of its stabilizer and the numbers of subarcs it contains. Maximal arcs may be used to construct interesting new partial geometries, 2-weight codes, and resolvable Steiner 2-designs.

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