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

被引：0

作者：

Hamilton N. ^{[1
]}

Stoichev S.D. ^{[3
]}

Tonchev V.D. ^{[2
]}

机构：

[1] Department of Mathematics, University of Queensland, Brisbane

[2] Department of Mathematical Sciences, Michigan Technological University, Houghton

[3] Department of Computer Systems, Technical University

来源：

Journal of Geometry | 2000年 / 67卷 / 1-2期

关键词：

Projective Plane; Computer Search;

D O I：

10.1007/BF01220304

中图分类号：

学科分类号：

摘要：

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). © Birkhäuser Verlag, Basel, 2000.

引用

页码：117 / 126

页数：9

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