Subspaces of matrices with special rank properties
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Publication:972794
DOI10.1016/j.laa.2010.02.015zbMath1198.15015OpenAlexW2019454893MaRDI QIDQ972794
Jean-Guillaume Dumas, Gary McGuire, John Sheekey, Roderick Gow
Publication date: 21 May 2010
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2010.02.015
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (13)
Rank-metric codes and their duality theory ⋮ A new family of linear maximum rank distance codes ⋮ Automorphism groups of Gabidulin-like codes ⋮ Rank metric codes and zeta functions ⋮ The Fourier transform of a projective group frame ⋮ Constant rank-distance sets of Hermitian matrices and partial spreads in Hermitian polar spaces ⋮ A note on equidistant subspace codes ⋮ Unnamed Item ⋮ Rank properties of subspaces of symmetric and Hermitian matrices over finite fields ⋮ Linear subspaces of matrices associated to a Ferrers diagram and with a prescribed lower bound for their rank ⋮ Galois theory and linear algebra ⋮ Binary additive MRD codes with minimum distance \(n-1\) must contain a semifield spread set ⋮ Subspace codes from Ferrers diagrams
Cites Work
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- Galois extensions and subspaces of alternating bilinear forms with special rank properties
- Alternating bilinear forms over GF(q)
- Bilinear forms over a finite field, with applications to coding theory
- Invertible preservers and algebraic groups
- Spaces of constant rank matrices over GF(2)
- Spaces of matrices of fixed rank
- Spaces of rank-2 matrices over GF(2)
- Maximum-rank array codes and their application to crisscross error correction
- Linear operators on matrices: The invariance of rank-k matrices
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