Selfdual normal bases on \(\mathrm{GF}(q)\)

DOI10.1007/BF01199114zbMath0723.15011MaRDI QIDQ757537

Willi Geiselmann, Thomas Beth

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

explicit formulaefficient algorithmsorthogonal circulant matricesarithmetic in finite fieldsself-dual normal bases

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Finite fields (field-theoretic aspects) (12E20) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items

Computational problems in the theory of finite fields, Construction of self-dual normal bases and their complexity, Complexities of self-dual normal bases, A note on orthogonal circulant matrices over finite fields, Self-dual bases in \(\mathbb{F}_{q^ n}\), Trace-orthogonal normal bases

Cites Work

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• Optimal normal bases in \(GF(p^ n)\)
• Zur Algebraischen Diskreten Fourier-Transformation
• Orthogonal circulant matrices over finite fields, and how to find them
• Architectures for exponentiation in GF(2n)
• Self-Complementary Normal Bases in Finite Fields
• Factorization of Symmetric Matrices and Trace-Orthogonal Bases in Finite Fields