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- Patrick Govaerts, Leo Storme
- Des. Codes Cryptography
- 2003

- Simeon Ball, Patrick Govaerts, Leo Storme
- Des. Codes Cryptography
- 2006

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)

- Patrick Govaerts, Leo Storme
- J. Comb. Theory, Ser. A
- 2002

Cameron–Liebler line classes are sets of lines in PGð3; qÞ that contain a fixed number x of lines of every spread. Cameron and Liebler classified them for x A f0; 1; 2; q 2 À 1; q 2 ; q 2 þ 1g and conjectured that no others exist. This conjecture was disproven by Drudge and his counterexample was generalised to a counterexample for any odd q by Bruen and… (More)

- Patrick Govaerts, Leo Storme, Hendrik Van Maldeghem
- Eur. J. Comb.
- 2002

- Jan De Beule, Patrick Govaerts, Anja Hallez, Leo Storme
- Des. Codes Cryptography
- 2009

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)

- Patrick Govaerts, Leo Storme
- J. Comb. Theory, Ser. A
- 2006

- Patrick Govaerts, Dieter Jungnickel, Leo Storme, Joseph A. Thas
- Des. Codes Cryptography
- 2003

- P. Govaerts, L. Storme
- 2004

Introducing a connection to minihypers, we prove extendability results for partial hemisys-tems. 1 Definitions Let PG(n, q) denote the n-dimensional projective space over GF(q), the finite field of order q. If P is a point of PG(n, q), then star(P) denotes the set of lines of PG(n, q) through P. Let Q(4, q) denote the nonsingular quadric in PG(4, q) and W 3… (More)

- Patrick Govaerts, MTA SZTAKI, Patrick André, Leo Storme
- 2003

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