Normal bases and their dual-bases over finite fields

DOI10.1007/S10114-005-0613-6zbMath1108.11088OpenAlexW2052440371MaRDI QIDQ2508607

Qi Sun, Qunying Liao

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0613-6

zbMATH Keywords

finite fieldnormal basis

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Finite fields (field-theoretic aspects) (12E20)

Related Items (4)

Low complexity of a class of normal bases over finite fields ⋮ The Gaussian normal basis and its trace basis over finite fields ⋮ A new characterization of dual bases in finite fields and its applications ⋮ Construction of self-dual normal bases and their complexity

Cites Work

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• Optimal normal bases
• An implementation for a fast public-key cryptosystem
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• Self-Complementary Normal Bases in Finite Fields
• Normal bases via general Gauss periods
• Gauss periods: orders and cryptographical applications
• On Orders of Optimal Normal Basis Generators
• Abelian groups, Gauss periods, and normal bases

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