A new criterion on \(k\)-normal elements over finite fields
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Publication:1997178
DOI10.1007/S11401-020-0226-5zbMath1482.11160arXiv1807.10121OpenAlexW3091050387WikidataQ114222477 ScholiaQ114222477MaRDI QIDQ1997178
Publication date: 1 March 2021
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.10121
Polynomials in general fields (irreducibility, etc.) (12E05) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)
Related Items (4)
Pairs of \(r\)-primitive and \(k\)-normal elements in finite fields ⋮ Normal bases and factorization of \(x^n -1\) in finite fields ⋮ r -primitive k -normal elements in arithmetic progressions over finite fields ⋮ Existence of primitive 2-normal elements in finite fields
Cites Work
- A new criterion on normal bases of finite field extensions
- On \(k\)-normal elements over finite fields
- A note on orthogonal circulant matrices over finite fields
- Finite field arithmetic using quasi-normal bases
- Existence and properties of \(k\)-normal elements over finite fields
- Handbook of Finite Fields
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