Infinite families of (q + 1)-ovoids and (q2 + 1)-tight sets of the symplectic polar space W(5,q), q even, are constructed. The (q + 1)-ovoids arise from relative hemisystems of the Hermitian surface H(3,q2) and from certain orbits of the Suzuki group Sz(q) in his projective 4-dimensional representation. The tight sets are closely related to the geometry of an ovoid of W(3,q). Other constructions of sporadic intriguing sets are also given. © 2014.
Intriguing sets of W(5,q), q even / Cossidente, Antonio; Pavese, Francesco. - In: JOURNAL OF COMBINATORIAL THEORY. SERIES A. - ISSN 0097-3165. - 127:1(2014), pp. 303-313. [10.1016/j.jcta.2014.07.006]
Intriguing sets of W(5,q), q even
PAVESE, Francesco
2014-01-01
Abstract
Infinite families of (q + 1)-ovoids and (q2 + 1)-tight sets of the symplectic polar space W(5,q), q even, are constructed. The (q + 1)-ovoids arise from relative hemisystems of the Hermitian surface H(3,q2) and from certain orbits of the Suzuki group Sz(q) in his projective 4-dimensional representation. The tight sets are closely related to the geometry of an ovoid of W(3,q). Other constructions of sporadic intriguing sets are also given. © 2014.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.