On Symmetric Representations of Finite Fields

DOI10.1137/0604003zbMath0506.15006OpenAlexW1973700304MaRDI QIDQ4742936

Gadiel Seroussi, Abraham Lempel

Publication date: 1983

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0604003

zbMATH Keywords

symmetric representationsrepresentation of finite fieldstrace-dual bases

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Finite fields and commutative rings (number-theoretic aspects) (11T99) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Matrix fields, regular and irregular: A complete fundamental characterization, On Subcodes of Generalized Second Order Reed–Muller Codes, On asymmetric representations of \(\text{GF}(q^ m)\) and self-dual codes, Characterization and synthesis of self-complementary normal bases in finite fields, Low complexity normal bases, On \(Q\)-ary images of self-dual codes

Cites Work

• Matrix fields over GF(q)
• Matrix fields over prime fields
• Matrix fields over finite extensions of prime fields
• Factorization of Symmetric Matrices and Trace-Orthogonal Bases in Finite Fields
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