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On Sets without Tangents in Galois Planes of Even Order

Authors :
Blokhuis, Aart
Szőnyi, Tamás
Weiner, Zsuzsa
Source :
Designs, Codes and Cryptography; May 2003, Vol. 29 Issue: 1-3 p91-98, 8p
Publication Year :
2003

Abstract

We show that the cardinality of a nonempty set of points without tangents in the desarguesian projective plane PG(2, q), qeven, is at least q+ 1 + $$ \sqrt {q/6} $$ provided that the set is not of even type.

Details

Language :
English
ISSN :
09251022 and 15737586
Volume :
29
Issue :
1-3
Database :
Supplemental Index
Journal :
Designs, Codes and Cryptography
Publication Type :
Periodical
Accession number :
ejs37429032
Full Text :
https://doi.org/10.1023/A:1024192106237