411 citations · 2.4k across the 68 of their papers we have counts for
5 papers · 1 filter
Partial spreads and vector space partitions
Thomas Honold, Michael Kiermaier, Sascha Kurz
Constant-dimension codes with the maximum possible minimum distance have been studied under the name of partial spreads in Finite Geometry for several decades. Not surprisingly, fo…
Classification of large partial plane spreads in and related combinatorial objects
Thomas Honold, Michael Kiermaier, Sascha Kurz
In this article, the partial plane spreads in of maximum possible size and of size are classified. Based on this result, we obtain the classification of the fol…
The order of the automorphism group of a binary -analog of the Fano plane is at most two
Michael Kiermaier, Sascha Kurz, Alfred Wassermann
It is shown that the automorphism group of a binary -analog of the Fano plane is either trivial or of order .
A new series of large sets of subspace designs over the binary field
Michael Kiermaier, Reinhard Laue, Alfred Wassermann
In this article, we show the existence of large sets for infinitely many values of and . The exact condition is and $0 \leq k \leq…
Tables of subspace codes
Daniel Heinlein, Michael Kiermaier, Sascha Kurz +1
One of the main problems of subspace coding asks for the maximum possible cardinality of a subspace code with minimum distance at least over , where the dimensi…