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» The Classification of the Largest Caps in AG(5, 3)
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JCT
2002
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14 years 9 months ago
The Classification of the Largest Caps in AG(5, 3)
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...
DCC
1998
IEEE
14 years 9 months ago
Caps and Colouring Steiner Triple Systems
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...
Aiden A. Bruen, Lucien Haddad, David L. Wehlau
DCC
2008
IEEE
15 years 9 months ago
Sequences in abelian groups G of odd order without zero-sum subsequences of length exp ( G )
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...
Yves Edel
DCC
2010
IEEE
14 years 10 months ago
On multiple caps in finite projective spaces
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,...
Yves Edel, Ivan N. Landjev