20 citations · 71 across the 20 of their papers we have counts for
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Gabidulin Decoding via Minimal Bases of Linearized Polynomial Modules
Anna-Lena Trautmann, Margreta Kuijper
We show how Gabidulin codes can be decoded via parametrization by using interpolation modules over the ring of linearized polynomials with composition. Our decoding algorithm compu…
Gröbner Bases for Linearized Polynomials
Margreta Kuijper, Anna-Lena Trautmann
In this work we develop the theory of Gröbner bases for modules over the ring of univariate linearized polynomials with coefficients from a finite field.
Iterative List-Decoding of Gabidulin Codes via Gröbner Based Interpolation
Margreta Kuijper, Anna-Lena Trautmann
We show how Gabidulin codes can be list decoded by using an iterative parametrization approach. For a given received word, our decoding algorithm processes its entries one by one,…
List-Decoding Gabidulin Codes via Interpolation and the Euclidean Algorithm
Margreta Kuijper, Anna-Lena Trautmann
We show how Gabidulin codes can be list decoded by using a parametrization approach. For this we consider a certain module in the ring of linearized polynomials and find a minimal…
Erasure codes with simplex locality
Margreta Kuijper, Diego Napp
We focus on erasure codes for distributed storage. The distributed storage setting imposes locality requirements because of easy repair demands on the decoder. We first establish t…