70 citations · 131 across the 9 of their papers we have counts for
9 papers
New arcs in projective Hjelmslev planes over Galois rings
Michael Kiermaier, Axel Kohnert
It is known that some good linear codes over a finite ring (R-linear codes) arise from interesting point constellations in certain projective geometries. For example, the expurgate…
Large sets of subspace designs
Michael Braun, Michael Kiermaier, Axel Kohnert +1
In this article, three types of joins are introduced for subspaces of a vector space. Decompositions of the Graßmannian into joins are discussed. This framework admits a generaliza…
Large Sets of -Designs over Finite Fields
Michael Braun, Axel Kohnert, Patric Östergård +1
A -design is a set of -subspaces, called blocks, of an -dimensional vector space over the finite field with elements such that each -subspace i…
Construction of Codes for Network Coding
Andreas-Stephan Elsenhans, Axel Kohnert, Alfred Wassermann
Based on ideas of Kötter and Kschischang we use constant dimension subspaces as codewords in a network. We show a connection to the theory of q-analogues of a combinatorial designs…
New [48,16,16] Optimal Linear Binary Block Code
Axel Kohnert
A new [48,16,16] optimal linear binary block code is given. To get this code a general construction is used which is also described in this paper. The construction of this new code…
Construction of Large Constant Dimension Codes With a Prescribed Minimum Distance
Axel Kohnert, Sascha Kurz
In this paper we construct constant dimension space codes with prescribed minimum distance. There is an increased interest in space codes since a paper by Koetter and Kschischang w…