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Low-rank matrix recovery using Gabidulin codes in characteristic zero

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Publication:1743301
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DOI10.1016/j.endm.2017.02.027zbMath1439.94096arXiv1604.04397OpenAlexW2963497038MaRDI QIDQ1743301

Sven Puchinger, Sven Müelich, Martin Bossert

Publication date: 13 April 2018

Full work available at URL: https://arxiv.org/abs/1604.04397


zbMATH Keywords

low-rank matrix recoverycharacteristic zeroGabidulin codes


Mathematics Subject Classification ID

Linear codes (general theory) (94B05)


Related Items (2)

Systematic encoders for generalized Gabidulin codes and the \(q\)-analogue of Cauchy matrices ⋮ Rank-Metric Codes and Their Applications



Cites Work

  • Theory of codes with maximum rank distance
  • Bilinear forms over a finite field, with applications to coding theory
  • Exact matrix completion via convex optimization
  • Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
  • Recovering Low-Rank Matrices From Few Coefficients in Any Basis
  • The Power of Convex Relaxation: Near-Optimal Matrix Completion
  • Maximum-rank array codes and their application to crisscross error correction


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