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Low complexity normal bases in \(\mathbb F_{2^n}\)

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Publication:1418182
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DOI10.1016/S1071-5797(03)00040-6zbMath1044.11105MaRDI QIDQ1418182

Daniel Panario, Benjamin J. Young

Publication date: 19 January 2004

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


zbMATH Keywords

Multiplication tablesNormal elementsOptimal normal bases


Mathematics Subject Classification ID

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


Related Items (5)

A new criterion on normal bases of finite field extensions ⋮ Gauss periods as constructions of low complexity normal bases ⋮ On the complexity of the dual basis of a type I optimal normal basis ⋮ On the complexity of the normal bases via prime Gauss period over finite fields ⋮ The trace of an optimal normal element and low complexity normal bases




Cites Work

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  • Low complexity normal bases
  • Optimal normal bases
  • Algorithms for exponentiation in finite fields
  • Matrix fields over finite extensions of prime fields




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