Normal bases over \(\text{GF}(q)\)

DOI10.1006/jabr.2001.8765zbMath0995.11066OpenAlexW2033225345MaRDI QIDQ5946410

Irving S. Reed, Trieu-Kien Truong, Yaotsu Chang

Publication date: 3 October 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.8765

zbMATH Keywords

finite fieldnormal basestraceirreducible polynomial

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (6)

Primitive normal polynomials with the first two coefficients prescribed: a revised \(p\)-adic method ⋮ Normal bases and factorization of \(x^n -1\) in finite fields ⋮ Normal bases and irreducible polynomials ⋮ A criterion for the normality of polynomials over finite fields based on their coefficients ⋮ Characterizing Normal Bases via the Trace Map ⋮ Explicit theorems on generator polynomials

Cites Work

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• Primitive normal bases with prescribed trace
• On completely free elements in finite fields
• Galoissche Theorie und Darstellungstheorie
• Normal bases of cyclic fields of primepower degree
• Normal basis of finite field<tex>GF(2^m)</tex>(Corresp.)

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