3 research outputs found
On tight sets of hyperbolic quadrics
We prove that the parameter of a tight set of a hyperbolic
quadric of an odd rank satisfies , where is the number of points of
in any generator of . As this modular equation should
have an integer solution in if such a exists, this condition
rules out roughly at least one half of all possible parameters . It
generalizes a previous result by the author and K. Metsch shown for tight sets
of a hyperbolic quadric (also known as Cameron-Liebler line
classes in )
Construction of strongly regular Cayley graphs based on three-valued Gauss periods
In this paper, we give a construction of strongly regular Cayley graphs on
the additive groups of finite fields based on three-valued Gauss periods. As
consequences, we obtain two infinite families and one sporadic example of new
strongly regular Cayley graphs. This construction can be viewed as a
generalization of that of strongly regular Cayley graphs obtained in
\cite{BLMX}.Comment: 19 page
Intriguing sets in distance regular graphs
We construct an infinite family of intriguing sets that are not tight in the
Grassmann Graph of planes of PG, odd, and show that the members
of the family are the smallest possible examples if or