4 search results - page 1 / 1 » The Classification of the Largest Caps in AG(5, 3) |
JCT
2002
13 years 4 months ago
2002
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.
DCC
1998
IEEE
13 years 5 months ago
1998
IEEE
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...
DCC
2008
IEEE
14 years 4 months ago
2008
IEEE
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...
DCC
2010
IEEE
13 years 5 months ago
2010
IEEE
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,...