On the minimum size of complete arcs and minimal saturating sets in projective planes

被引：7
|
作者：
Bartoli D. [1 ]
Faina G. [1 ]
Marcugini S. [1 ]
Pambianco F. [1 ]
机构：
[1] Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Via Vanvitelli 1, Perugia
来源：
Journal of Geometry | 2013年 / 104卷 / 3期
关键词：
complete arcs; minimal saturating sets; Projective planes; small complete arcs;
D O I：
10.1007/s00022-013-0178-y
中图分类号：
学科分类号：
摘要：
The minimum size of a complete arc in the planes PG(2, 31) and PG(2, 32) and of a 1-saturating set in PG(2, 17) and PG(2, 19) is determined. Also, the minimal 1-saturating sets in PG(2, 9) and PG(2, 11) are classified. In addition, the minimal 1-saturating sets of the smallest size in PG(2, q) are classified for 16 ≤ q ≤ 23. These results have been found using a computer-based exhaustive search that exploits projective equivalence properties. © 2013 Springer Basel.
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页码：409 / 419
页数：10
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