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math.CO2015
A Bollobás-type theorem for affine subspaces
Gábor Hegedüs
Let denote the -dimensional affine space over the finite field . We prove here a Bollobás-type upper bound in the case of the set of affine subspaces. We give a…
math.CO2015
Shattering bounds for tuple systems
Gábor Hegedüs
Let $\mbox{ V}(n,d,q)$ stand for the --ary Hamming spheres. Let $\mbox{ C}\subseteq (q)^n$ denote a tuple system such that $\mbox{ C}\subseteq \cup_{i=0}^s \mbox{ V}(n,d_i,q)$,…