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20112014
most citedCyclic Orbit Codes

79 citations · 191 across the 19 of their papers we have counts for

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19 papers · 1 filter

cs.IT2014★ 3 cited

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…

cs.IT2014★ 2 cited

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,…

cs.IT2014

Cross-Error Correcting Integer Codes over

Anna-Lena Trautmann, Emanuele Viterbo

In this work we investigate codes in that can correct errors that occur in just one coordinate of the codeword, with a magnitude of up to a given parameter …

cs.IT2014★ 4 cited

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…

cs.IT2014★ 3 cited

Subspace Codes based on Graph Matchings, Ferrers Diagrams and Pending Blocks

Natalia Silberstein, Anna-Lena Trautmann

This paper provides new constructions and lower bounds for subspace codes, using Ferrers diagram rank-metric codes from matchings of the complete graph and pending blocks. We prese…

cs.IT2014★ 4 cited

Message Encoding for Spread and Orbit Codes

Anna-Lena Trautmann

Spread codes and orbit codes are special families of constant dimension subspace codes. These codes have been well-studied for their error correction capability and transmission ra…