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.
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收藏
页码：117 / 126
页数：9
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