The classification of the largest caps in AG(5, 3)

Authors:
Y. Edel;S. Ferret;I. Landjev
Affiliations:
Mathematisches Institut der Universität, Im Neuenheimer Feld 288, 69120 Heidelberg, Germany;Department of Pure Maths and Computer Algebra, Ghent University, Krijgslaan 281, 9000 Ghent, Belgium;Institute of Mathematics and Informatics, 8 Acad G. Bonehev str, 1113 Sofia, Bulgaria
Venue:
Journal of Combinatorial Theory Series A
Year:
2002

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Abstract

We prove that 45 is the size of the largest caps in AG(5,3), and such a 45-cap is always obtained from the 56-cap in PG(5, 3) by deleting an 11-hyperplane.