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As it is well known, the transitive ovoids of PGð3; qÞ are the non-degenerate quadrics and the Suzuki-Tits ovoids (see in: A. classified the 2-transitive ovoids of finite classical polar spaces. Kleidman's result was partially improved by Gunawardena (J. Combin. Theory Ser. A 89 (2000) 70) who determined the primitive ovoids of the quadric O þ 8 ðqÞ: Transitive ovoids of the classical polar space arising from the Hermitian surface Hð3; q 2 Þ of PGð3; q 2 Þ with even q are investigated in thisdoi:10.1016/s0097-3165(02)00021-3 fatcat:shihiwhma5hkxh4hhvcb7anxcm