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.
Yves Edel, Sandy Ferret, Ivan N. Landjev, Leo Stor...
Hill [6] showed that the largest cap in PG(5, 3) has cardinality 56. Using this cap it is easy to construct a cap of cardinality 45 in AG(5, 3). Here we show that the size of a cap...
We present a new construction for sequences in the finite abelian group Cr n without zero-sum subsequences of length n, for odd n. This construction improves the maximal known car...
In this paper, we consider new results on (k, n)-caps with n > 2. We provide a lower bound on the size of such caps. Furthermore, we generalize two product constructions for (k,...