On the numerical range of matrices defined over a finite field

DOI10.1016/j.ffa.2020.101730zbMath1460.15034OpenAlexW3046926575MaRDI QIDQ1994940

Edoardo Ballico

Publication date: 18 February 2021

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11572/276220

zbMATH Keywords

numerical rangefinite fieldmatrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Finite fields (field-theoretic aspects) (12E20)

Cites Work

• Numerical ranges over finite fields
• On the numerical range of matrices over a finite field
• Corrigendum to: ``On the numerical range of matrices over a finite field
• AG codes and AG quantum codes from the GGS curve
• Good and asymptotically good quantum codes derived from algebraic geometry
• Quantum codes from affine variety codes and their subfield-subcodes
• Numerical range over finite fields: restriction to subspaces
• Quantum codes from a new construction of self-orthogonal algebraic geometry codes
• Euclidean and Hermitian Self-Orthogonal Algebraic Geometry Codes and Their Application to Quantum Codes
• Matrix Analysis
• Enlargement of Calderbank-Shor-Steane quantum codes
• Some good quantum error-correcting codes from algebraic-geometric codes
• Quantum error correction via codes over GF(4)
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