Partial flocks of quadratic cones with a point vertex in $PG(n,q)$, $n$ odd
Journal of Algebraic Combinatorics, Tome 6 (1997) no. 4, pp. 377-392.

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Summary: We generalise the definition and many properties of flocks ofquadratic cones in PG $(3,q)$ to partial flocks of quadratic coneswith vertex a point in PG $(p,q)$, for n $ge$ 3 odd.
Keywords: Galois geometry, flock, cone, ovoid, cap
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     author = {O'Keefe, Christine M. and Thas, J.A.},
     title = {Partial flocks of quadratic cones with a point vertex in $PG(n,q)$, $n$ odd},
     journal = {Journal of Algebraic Combinatorics},
     pages = {377--392},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_1997__6_4_a0/}
}
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O'Keefe, Christine M.; Thas, J.A. Partial flocks of quadratic cones with a point vertex in $PG(n,q)$, $n$ odd. Journal of Algebraic Combinatorics, Tome 6 (1997) no. 4, pp. 377-392. http://geodesic.mathdoc.fr/item/JAC_1997__6_4_a0/