On large partial ovoids of symplectic and Hermitian polar spaces

2022/03/09 by Ceria, Michela, De Beule, Jan, Pavese, Francesco +1
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2203.04553

Abstract

In this paper we provide constructive lower bounds on the sizes of the largest partial ovoids of the symplectic polar spaces \cal W(3, q), q odd square, q \not≡ 0 \pmod3, \cal W(5, q) and of the Hermitian polar spaces \cal H(4, q²), q even or q odd square, q \not≡ 0 \pmod3, \cal H(6, q²), \cal H(8, q²).

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