9 citations · 10 across the 3 of their papers we have counts for
3 papers
From Linear Codes to Hyperplane Arrangements via Thomas Decomposition
Wilhelm Plesken, Thomas Bächler
We establish a connection between linear codes and hyperplane arrangements using the Thomas decomposition of polynomial systems and the resulting counting polynomial. This yields b…
Algorithmic Thomas Decomposition of Algebraic and Differential Systems
Thomas Bächler, Vladimir Gerdt, Markus Lange-Hegermann +1
In this paper, we consider systems of algebraic and non-linear partial differential equations and inequations. We decompose these systems into so-called simple subsystems and there…
Thomas Decomposition of Algebraic and Differential Systems
Thomas Bächler, Vladimir Gerdt, Markus Lange-Hegermann +1
In this paper we consider disjoint decomposition of algebraic and non-linear partial differential systems of equations and inequations into so-called simple subsystems. We exploit…