External flats to varieties in \(\mathbb{P}\mathbb{G}(M_{n,n}(GF(q)))\)

zbMath0885.15009MaRDI QIDQ1373317

Bruce N. Cooperstein

Publication date: 18 November 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

finite fieldrankvarietiesmaximal subspacesexternal flats

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Algebraic systems of matrices (15A30)

Related Items (10)

Multiple-rate error-correcting coding scheme ⋮ Non-linear maximum rank distance codes in the cyclic model for the field reduction of finite geometries ⋮ Non-linear maximum rank distance codes ⋮ A note on equidistant subspace codes ⋮ External flats to varieties in symmetric product spaces over finite fields. ⋮ A generalization of the normal rational curve in \(\mathrm {PG}(d,q^n)\) and its associated non-linear MRD codes ⋮ Embedding of orthogonal Buekenhout-Metz unitals in the Desarguesian plane of order q^2 ⋮ Puncturing maximum rank distance codes ⋮ Orbit codes from forms on vector spaces over a finite field ⋮ On tangent spaces and external flats to Grassmannians of lines over finite fields

Cites Work

• Projective bundles
• Invertible preservers and algebraic groups
• On Spaces of Linear Transformations with Bounded Rank
• ON THE MAXIMAL RANK IN A SUBSPACE OF MATRICES
• Commutative Division Algebras
• Unnamed Item

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