Caps in the projective geometry PG( n,4)

We construct a cap C n in PG( n,4) of size 12(2 n−2 −1)+5. In the cases when n=3 and 4, this yields geometric constructions of the well-known ovoid in PG(3,4) and the Tallini cap in PG(4,4).

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Bibliographic Details
Published in:Finite fields and their applications 2004-04, Vol.10 (2), p.159-167
Main Authors: Baartmans, Alphonse, Yucas, Joseph L.
Format: Article
Language:English
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Summary:We construct a cap C n in PG( n,4) of size 12(2 n−2 −1)+5. In the cases when n=3 and 4, this yields geometric constructions of the well-known ovoid in PG(3,4) and the Tallini cap in PG(4,4).
ISSN:1071-5797
1090-2465
DOI:10.1016/S1071-5797(03)00049-2