A new characterization of dual bases in finite fields and its applications

DOI10.1016/j.dam.2007.05.031zbMath1126.11070OpenAlexW2011951502MaRDI QIDQ2457004

Qi Sun, Wei Cao

Publication date: 29 October 2007

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2007.05.031

zbMATH Keywords

normal basisdual basisFinite fieldpolynomial basis

Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

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Cites Work

• Optimal normal bases in \(GF(p^ n)\)
• Optimal normal bases
• Self-dual bases in \(\mathbb{F}_{q^ n}\)
• Generalizing the discrete Fourier transform
• Normal bases and their dual-bases over finite fields
• Bit Serial Multiplication in Finite Fields
• On the Number of Self-Dual Bases of GF(q m ) Over GF(q)
• A public key cryptosystem and a signature scheme based on discrete logarithms
• New directions in cryptography
• Bit-serial Reed - Solomon encoders
• On bit-serial multiplication and dual bases in GF(2/sup m/)
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