70 citations · 1.1k across the 129 of their papers we have counts for
12 papers · 1 filter
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…
Demand forecasting for companies with many branches, low sales numbers per product, and non-recurring orderings
Sascha Kurz, Joerg Rambau
We propose the new Top-Dog-Index to quantify the historic deviation of the supply data of many small branches for a commodity group from sales data. On the one hand, the common par…
The Top-Dog Index: A New Measurement for the Demand Consistency of the Size Distribution in Pre-Pack Orders for a Fashion Discounter with Many Small Branches
Sascha Kurz, Joerg Rambau, Joerg Schluechtermann +1
We propose the new Top-Dog-Index, a measure for the branch-dependent historic deviation of the supply data of apparel sizes from the sales data of a fashion discounter. A common ap…
Lotsize optimization leading to a -median problem with cardinalities
Constantin Gaul, Sascha Kurz, Joerg Rambau
We consider the problem of approximating the branch and size dependent demand of a fashion discounter with many branches by a distributing process being based on the branch deliver…
Enumeration of integral tetrahedra
Sascha Kurz
We determine the numbers of integral tetrahedra with diameter up to isomorphism for all via computer enumeration. Therefore we give an algorithm that enumerates the…
On the minimum diameter of plane integral point sets
Sascha Kurz, Alfred Wassermann
Since ancient times mathematicians consider geometrical objects with integral side lengths. We consider plane integral point sets , which are sets of points in the…
There are integral heptagons, no three points on a line, no four on a circle
Tobias Kreisel, Sascha Kurz
We give two configurations of seven points in the plane, no three points in a line, no four points on a circle with pairwise integral distances. This answers a famous question of P…
Integral point sets over
Axel Kohnert, Sascha Kurz
There are many papers studying properties of point sets in the Euclidean space or on integer grids , with pairwise integral or rational distances. In t…
Bounds for the minimum oriented diameter
Sascha Kurz, Martin Laetsch
We consider the problem of finding an orientation with minimum diameter of a connected bridgeless graph. Fomin et. al. discovered a relation between the minimum oriented diameter a…
Maximal integral point sets over
Andrey Radoslavov Antonov, Sascha Kurz
Geometrical objects with integral side lengths have fascinated mathematicians through the ages. We call a set a maximal integral point set ov…
Bounds for the minimum diameter of integral point sets
Sascha Kurz, Reinhard Laue
Geometrical objects with integral sides have attracted mathematicians for ages. For example, the problem to prove or to disprove the existence of a perfect box, that is, a rectangu…
Maximal integral point sets in affine planes over finite fields
Michael Kiermaier, Sascha Kurz
Motivated by integral point sets in the Euclidean plane, we consider integral point sets in affine planes over finite fields. An integral point set is a set of points in the affine…