On the multiplicative order of the roots of \(bX^{q^r + 1} - aX^{q^r} + dX - c\)

DOI10.1016/j.ffa.2017.05.002zbMath1409.11121arXiv1611.10220OpenAlexW2559447364MaRDI QIDQ2401955

Fabio Enrique Brochero Martínez, Theodoulos Garefalakis, Eleni Tzanaki, Lucas Reis

Publication date: 5 September 2017

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

Full work available at URL: https://arxiv.org/abs/1611.10220

zbMATH Keywords

multiplicative orderinvariant polynomialgroup action on irreducible polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Cites Work

• Unnamed Item
• Elements of high order in finite fields of the form
• Elements of high order in Artin-Schreier extensions of finite fields \(\mathbb{F}_q\)
• On the action of \(\text{GL}_2(\mathbb F_q)\) on irreducible polynomials over \(\mathbb F_q\)
• Factorization of a class of polynomials over finite fields
• Inequalities for binomial coefficients
• PRIMES is in P
• Elements of high order in finite fields of the form \(\mathbb F_q[x/(x^m-a)\)]
• Constructing Finite Field Extensions with Large Order Elements
• Elements of provable high orders in finite fields

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