Symmetric matrices and codes correcting rank errors beyond the \(\lfloor(d-1)/2 \rfloor\) bound

DOI10.1016/j.dam.2005.03.012zbMath1091.94045OpenAlexW1997013665MaRDI QIDQ2489925

Nina I. Pilipchuk, Ernst M. Gabidulin

Publication date: 28 April 2006

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2005.03.012

zbMATH Keywords

correcting errors beyond the one-half distance boundmatrix rank linear codesself-orthogonal basesvector rank linear codes

Mathematics Subject Classification ID

Bounds on codes (94B65)

Related Items (6)

Algebraic structures of MRD codes ⋮ Hermitian rank distance codes ⋮ Rank-metric complementary dual codes ⋮ Error and erasure correcting algorithms for rank codes ⋮ On symmetric and Hermitian rank distance codes ⋮ Rank-Metric Codes and Their Applications

Cites Work

• Theory of codes with maximum rank distance
• Symmetric rank codes
• Maximum rank distance codes as space~time codes
• Factorization of Symmetric Matrices and Trace-Orthogonal Bases in Finite Fields
• Maximum-rank array codes and their application to crisscross error correction
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