Geodesic
Small complete caps in Galois affine spaces
Journal of Algebraic Combinatorics, Tome 25 (2007) no. 2, pp. 149-168.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Some new families of caps in Galois affine spaces $AG( N, q)$ of dimension N$\equiv 0$(mod 4) and odd order $q$ are constructed. Such caps are proven to be complete by using some new ideas depending on the concept of a regular point with respect to a complete plane arc. As a corollary, an improvement on the currently known upper bounds on the size of the smallest complete caps in $AG( N, q)$ is obtained.
Keywords: keywords affine space, complete cap, complete arc 
@article{JAC_2007__25_2_a4,
     author = {Giulietti, Massimo},
     title = {Small complete caps in {Galois} affine spaces},
     journal = {Journal of Algebraic Combinatorics},
     pages = {149--168},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2007__25_2_a4/}
}
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Giulietti, Massimo. Small complete caps in Galois affine spaces. Journal of Algebraic Combinatorics, Tome 25 (2007) no. 2, pp. 149-168. http://geodesic.mathdoc.fr/item/JAC_2007__25_2_a4/