Abstract
A two-character set in a finite projective space is a set of points with the property that the intersection number with any hyperplanes only takes two values. In this paper constructions of some two-character sets are given. In particular, infinite families of tight sets of the symplectic generalized quadrangle W(3,q2) and the Hermitian surface H(3,q2) are provided. A quasi-Hermitian variety H in PG(r,q2) is a combinatorial generalization of the (non-degenerate) Hermitian variety H(r,q2) so that H and H(r,q2) have the same number of points and the same intersection numbers with hyperplanes. Here we construct two families of quasi-Hermitian varieties, for r,q both odd, admitting PΓO+(r+1,q) and PΓO−(r+1,q) as automorphisms group.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
