70 citations · 1.1k across the 129 of their papers we have counts for
5 papers · 1 filter
Irreducible subcube partitions
Yuval Filmus, Edward Hirsch, Sascha Kurz +4
A \emph{subcube partition} is a partition of the Boolean cube into subcubes. A subcube partition is irreducible if the only sub-partitions whose union is a subcube are…
Capacity of an infinite family of networks related to the diamond network for fixed alphabet sizes
Sascha Kurz
We consider the problem of error correction in a network where the errors can occur only on a proper subset of the network edges. For a generalization of the so-called Diamond Netw…
The Geometry of -arcs
Sascha Kurz, Ivan Landjev, Francesco Pavese +1
In this paper, we give a geometric construction of the three strong non-lifted -arcs in of respective sizes 128, 143, and 168, and construct an…
Affine vector space partitions
John Bamberg, Yuval Filmus, Ferdinand Ihringer +1
An affine vector space partition of is a set of proper affine subspaces that partitions the set of points. Here we determine minimum sizes and enumerate eq…
Squares with three digits
Michael Geißer, Theresa Körner, Sascha Kurz +1
We consider integers whose squares have just three decimal digits. Examples are e.g. given by $2108436491907081488939581538^2 = 4445504440405440505004450045555054500055550554550445…