Linear subspaces of matrices associated to a Ferrers diagram and with a prescribed lower bound for their rank

Author:

Ballico E.

Funder

MIUR

INdAM

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference20 articles.

1. Introduction to Commutative Algebra;Atiyah,1969

2. Large spaces of matrices of bounded rank;Atkinson;Q. J. Math. Ser. (2),1980

3. Bilinear forms over a finite field, with applications to coding theory;Delsarte;J. Combin. Theory Ser. A,1978

4. Subspaces of matrices with special rank properties;Dumas;Linear Algebra Appl.,2010

5. Vector spaces of matrices of low rank;Eisenbud;Adv. Math.,1988

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1. A proof of the Etzion-Silberstein conjecture for monotone and MDS-constructible Ferrers diagrams;Journal of Combinatorial Theory, Series A;2024-11

2. Rook theory of the Etzion-Silberstein Conjecture;Algebraic Combinatorics;2024-04-29

3. Random matrices associated to Young diagrams;Random Matrices: Theory and Applications;2023-09-26

4. Optimal Ferrers diagram rank-metric codes from MRD codes;Designs, Codes and Cryptography;2023-08-19

5. Several classes of optimal Ferrers diagram rank-metric codes;Linear Algebra and its Applications;2019-11

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