"Maximal arcs and disjoint maximal arcs in projective planes of order 1" by Nicholas Hamilton, Stoicho Stoichev et al.
 

Maximal arcs and disjoint maximal arcs in projective planes of order 16

Document Type

Article

Publication Date

3-2000

Abstract

This paper tabulates the results of a number of computer searches in projective planes of order 16. Maximal arcs of degree 4 are found in all but two of the known planes of order 16 (and their duals). Any such arc yields a resolvable 2-(52, 4, 1) design that admits at least 52 resolutions. Pairs of disjoint degree 4 maximal arcs are also shown to exist in certain of the planes giving rise to 104-sets of type (4, 8).

Publisher's Statement

© Birkhäuser Verlag 2000. Publisher’s version of record: https://doi.org/10.1007/BF01220304

Publication Title

Journal of Geometry

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