Geodesic
On Conics Over a Finite Field
Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1281-1288

Voir la notice de l'article provenant de la source Cambridge University Press

Let F denote a Galois field of order q and odd characteristic p, and F* = F\{0}. Let Sn denote an n-dimensional affine space with base field F. E. Cohen [1] had proved that if n ≧ 4, there is no hyperplane of Sn contained in the complement of the quadric Qn of Sn defined by 1.1 and in S3, there are q + 1 or 0 planes contained in the complement of Q 3 according as — aα is not or is a square of F. 
Jung, Fuanglada R. On Conics Over a Finite Field. Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1281-1288. doi: 10.4153/CJM-1974-122-9
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[1] 1. Cohen, E., Linear and quadratic equations in a Galois field with applications to geometry, Duke Math. J. 32 (1965), 633–641. Google Scholar

[2] 2. Dickson, L. E., Linear group, with an exposition of the Galois field theory, (Lipezig, 1901: reprinted by Dover, 1958). Google Scholar

[3] 3. Jung, F. R., Ph.D. thesis, Kansas State University, 1969. Google Scholar

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