Title
Constructions of Hadamard difference sets
Abstract
Using a spread of PG(3; p) and certain projective two-weight codes, we give ageneral construction of Hadamard difference sets in groups H \Theta (Z p )4, where H iseither the Klein 4-group or the cyclic group of order 4, and p is an odd prime. In thecase p j 3 (mod 4), we use an ovoidal fibration of PG(3; p) to construct Hadamarddifference sets, this construction includes Xia's construction of Hadamard differencesets as a special case. In the case p j 1 (mod 4), we construct new...
Year
DOI
Venue
1997
10.1006/jcta.1996.2740
J. Comb. Theory, Ser. A
Keywords
Field
DocType
hadamard difference set,cyclic group,difference set
Prime (order theory),Hadamard's maximal determinant problem,Discrete mathematics,Combinatorics,Hadamard matrix,Cyclic group,Hadamard three-lines theorem,Hadamard's inequality,Hadamard three-circle theorem,Hadamard transform,Mathematics
Journal
Volume
Issue
ISSN
77
1
Journal of Combinatorial Theory, Series A
Citations 
PageRank 
References 
11
1.08
3
Authors
2
Name
Order
Citations
PageRank
Richard M. Wilson1697340.86
Qing Xiang229942.30