67 citations · 80 across the 16 of their papers we have counts for
18 papers
MacWilliams duality for rank metric codes over finite chain rings
Iván Blanco-Chacón, Alberto F. Boix, Marcus Greferath +1
We extend Ravagnani's MacWilliams duality theory to the settings of rank metric codes over finite chain rings, relating the sequences of -binomial moments of a rank metric code…
Group testing via residuation and partial geometries
Marcus Greferath, Cornelia Roessing
The motivation for this paper comes from the ongoing SARS-CoV-2 Pandemic. Its goal is to present a previously neglected approach to non-adaptive group testing and describes it in t…
List Decoding of Quaternary Codes in the Lee Metric
Marcus Greferath, Jens Zumbrägel
We present a list decoding algorithm for quaternary negacyclic codes over the Lee metric. To achieve this result, we use a Sudan-Guruswami type list decoding algorithm for Reed-Sol…
On Bounds for Ring-Based Coding Theory
Niklas Gassner, Marcus Greferath, Joachim Rosenthal +1
Coding Theory where the alphabet is identified with the elements of a ring or a module has become an important research topic over the last 30 years. Such codes over rings had impo…
On Decoding of Generalized Concatenated Codes and Matrix-Product Codes
Ferdinand Blomqvist, Oliver W. Gnilke, Marcus Greferath
Generalized concatenated codes were introduced in the 1970s by Zinoviev. There are many types of codes in the literature that are known by other names that can be viewed as general…
The Extension Theorem for Bi-invariant Weights over Frobenius Rings and Frobenius Bimodules
Oliver W. Gnilke, Marcus Greferath, Thomas Honold +2
We give a sufficient condition for a bi-invariant weight on a Frobenius bimodule to satisfy the extension property. This condition applies to bi-invariant weights on a finite Frobe…