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It is known that every ovoid of the parabolic quadric Q(4, q), q = p h , p prime, intersects every three-dimensional elliptic quadric in 1 mod p points. We present a new approach which gives us a second proof of this result and, in the case when p = 2, allows us to prove that every ovoid of Q(4, q) either intersects all the three-dimensional ellip-tic… (More)

Minihypers are substructures of projective spaces introduced to study linear codes meeting the Griesmer bound. Recently, many results in finite geometry were obtained by applying characterization results on minihypers [8, 17, 18]. In this paper , using characterization results on certain minihypers, we present new results on tight sets in classical finite… (More)

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