79 citations · 191 across the 19 of their papers we have counts for
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On the Geometry of Balls in the Grassmannian and List Decoding of Lifted Gabidulin Codes
Joachim Rosenthal, Natalia Silberstein, Anna-Lena Trautmann
The finite Grassmannian is defined as the set of all -dimensional subspaces of the ambient space . Subsets of the finite Grassmannian…
New Lower Bounds for Constant Dimension Codes
Natalia Silberstein, Anna-Lena Trautmann
This paper provides new constructive lower bounds for constant dimension codes, using different techniques such as Ferrers diagram rank metric codes and pending blocks. Constructio…
List Decoding of Lifted Gabidulin Codes via the Plücker Embedding
Anna-Lena Trautmann, Natalia Silberstein, Joachim Rosenthal
Codes in the Grassmannian have recently found an application in random network coding. All the codewords in such codes are subspaces of $\F_q^n$ with a given dimension. In this pap…
A lower bound for constant dimension codes from multi-component lifted MRD codes
Anna-Lena Trautmann
In this work we investigate unions of lifted MRD codes of a fixed dimension and minimum distance and derive an explicit formula for the cardinality of such codes. This will then im…