Trace self-orthogonal relations of normal bases

DOI10.1016/J.FFA.2015.05.003zbMath1331.11113OpenAlexW1866612628MaRDI QIDQ492013

Wenbao Han, Weiwei Huang, Quanmei Chu, Xiyong Zhang

Publication date: 19 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2015.05.003

zbMATH Keywords

normal basisquadratic residuereciprocal polynomialtrace self-orthogonal

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Finding normal bases over finite fields with prescribed trace self-orthogonal relations
• Construction of self-dual normal bases and their complexity
• A method for constructing a self-dual normal basis in odd characteristic extension fields
• Normal bases of cyclic fields of primepower degree
• CONSTRUCTION OF SELF-DUAL INTEGRAL NORMAL BASES IN ABELIAN EXTENSIONS OF FINITE AND LOCAL FIELDS
• Search for Boolean Functions With Excellent Profiles in the Rotation Symmetric Class
• Self-Complementary Normal Bases in Finite Fields
• Constructing SCN bases in characteristic 2

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