Parameters for sets of type (m, n) in projective planes of prime power order

Citation
M. Biliotti et E. Francot, Parameters for sets of type (m, n) in projective planes of prime power order, J COMB TH A, 86(2), 1999, pp. 395-400
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN journal
00973165 → ACNP
Volume
86
Issue
2
Year of publication
1999
Pages
395 - 400
Database
ISI
SICI code
0097-3165(199905)86:2<395:PFSOT(>2.0.ZU;2-U
Abstract
A set S of k points in a projective plane of order q is of type (m, n) if e ach line meets S in either m or n points. The parameters are standard if q= a(2) for a=n-m. In this note we give a method for determining all admissibl e nonstandard parameters for a given m and q a prime power. (C) 1999 Academ ic Press.