Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4655295 | Journal of Combinatorial Theory, Series A | 2014 | 11 Pages |
Abstract
Infinite families of (q+1)(q+1)-ovoids and (q2+1)(q2+1)-tight sets of the symplectic polar space W(5,q)W(5,q), q even, are constructed. The (q+1)(q+1)-ovoids arise from relative hemisystems of the Hermitian surface H(3,q2)H(3,q2) and from certain orbits of the Suzuki group Sz(q)Sz(q) in his projective 4-dimensional representation. The tight sets are closely related to the geometry of an ovoid of W(3,q)W(3,q). Other constructions of sporadic intriguing sets are also given.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Antonio Cossidente, Francesco Pavese,