Title
The geometry of some two-character sets
Abstract
A projective (n, d, w 1, w 2) q set (or a two-character set for short) is a set $${\mathcal{S}}$$ of n points of PG(d 驴 1, q) with the properties that the set generates PG(d 驴 1, q) and that every hyperplane meets the set in either n 驴 w 1 or n 驴 w 2 points. Here geometric constructions of some two-character sets are given. The constructions mainly involve commuting polarities, symplectic polarities and normal line-spreads of projective spaces. Some information about the automorphism groups of such sets is provided.
Year
DOI
Venue
2008
10.1007/s10623-007-9155-5
Des. Codes Cryptography
Keywords
Field
DocType
Two-character sets,Strongly regular graphs,Automorphism group,05B25,05E30,94B25,94B27
Automorphism group,Blocking set,Discrete mathematics,Combinatorics,Automorphism,Symplectic geometry,Hyperplane,Geometry,Character encoding,Collineation,Mathematics,Projective test
Journal
Volume
Issue
ISSN
46
2
0925-1022
Citations 
PageRank 
References 
2
0.43
9
Authors
5
Name
Order
Citations
PageRank
antonio cossidente115743.94
Nicola Durante22710.53
Giuseppe Marino3669.55
Tim Penttila417539.78
Alessandro Siciliano5215.76