A criterion for the normality of polynomials over finite fields based on their coefficients

DOI10.1016/j.ffa.2023.102313arXiv2212.04978MaRDI QIDQ6185632

Xiang-Dong Hou

Publication date: 8 January 2024

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

Full work available at URL: https://arxiv.org/abs/2212.04978

zbMATH Keywords

finite fieldsymmetric polynomialnormal basisnormal polynomial

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Polynomials in number theory (11C08) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Arithmetic theory of polynomial rings over finite fields (11T55) Symmetric groups (20B30) Computational methods for problems pertaining to field theory (12-08)

Cites Work

• Unnamed Item
• Normal generators of finite fields
• Galoissche Theorie und Darstellungstheorie
• Normal bases of cyclic fields of primepower degree
• Handbook of Finite Fields
• Normal basis of finite field<tex>GF(2^m)</tex>(Corresp.)
• On the group determinant
• Lectures on Finite Fields
• Normal bases over \(\text{GF}(q)\)

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