Title
Some blocking semiovals of homology type in planes of square order
Abstract
blocking semioval in a projective plane is a set of points which is both a semioval and a blocking set. In this paper, blocking semiovals in the Desaguesian projective plane $$\mathrm{PG}(2,s^2)$$ PG ( 2 , s 2 ) admitting an order $$s+1$$ s + 1 homology group are considered. The geometry of the point-orbits of such a group is studied. Using this geometry two new blocking semiovals are constructed in $$\mathrm{PG}(2,5^2)$$ PG ( 2 , 5 2 ) . Their automorphism group is also discussed.
Year
DOI
Venue
2014
10.1007/s10623-013-9844-1
Designs, Codes and Cryptography
Keywords
Field
DocType
Projective planes,Blocking set,Semioval,Blocking semioval,05B25,51E20,51E21,94A60
Discrete mathematics,Automorphism group,Blocking set,Combinatorics,Homology (biology),Projective plane,Mathematics,Homology (mathematics)
Journal
Volume
Issue
ISSN
72
1
0925-1022
Citations 
PageRank 
References 
1
0.37
5
Authors
2
Name
Order
Citations
PageRank
Nicola Durante12710.53
Alessandro Siciliano2215.76