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COMBINATORICS
2002
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13 years 4 months ago
On the Number of Distributive Lattices
We investigate the numbers dk of all (isomorphism classes of) distributive lattices with k elements, or, equivalently, of (unlabeled) posets with k antichains. Closely related and...
Marcel Erné, Jobst Heitzig, Jürgen Rei...
AAECC
2005
Springer
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13 years 4 months ago
Isomorphism Classes of Picard Curves over Finite Fields
In this paper we determine the number of isomorphism classes of Picard curves, i.e., superelliptic curves y3 = f(x) of genus three, over finite fields of characteristic different f...
Jong Won Lee
SIAMDM
2008
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13 years 4 months ago
A Census of Small Latin Hypercubes
We count all latin cubes of order n 6 and latin hypercubes of order n 5 and dimension d 5. We classify these (hyper)cubes into isotopy classes and paratopy classes (main classe...
Brendan D. McKay, Ian M. Wanless
EJC
2007
13 years 4 months ago
The exceptional hyperplanes of DH(5, 4)
In [2], we showed the existence of five isomorphism classes of hyperplanes in each dual polar space of type DH(5, q2). We also proved there that every hyperplane of DH(5, q2) bel...
Bart De Bruyn, Harm Pralle