Rational Transformations and Invariant Polynomials
M Schulz - arXiv preprint arXiv:2306.13502, 2023 - arxiv.org
Rational transformations of polynomials are extensively studied in the context of finite fields,
especially for the construction of irreducible polynomials. In this paper, we consider the …
especially for the construction of irreducible polynomials. In this paper, we consider the …
[HTML][HTML] Iterative constructions of irreducible polynomials from isogenies
Let S be a rational fraction and let f be a polynomial over a finite field. Consider the transform
T (f)= numerator (f (S)). In certain cases, the polynomials f, T (f), T (T (f))… are all irreducible …
T (f)= numerator (f (S)). In certain cases, the polynomials f, T (f), T (T (f))… are all irreducible …
Contributions aux aspects effectifs des variétés abéliennes et à leurs applications
G Bisson - 2023 - hal.science
Contributions aux aspects effectifs des variétés abéliennes et à leurs applications Page 1 HAL
Id: tel-04193136 https://hal.science/tel-04193136 Submitted on 1 Sep 2023 HAL is a …
Id: tel-04193136 https://hal.science/tel-04193136 Submitted on 1 Sep 2023 HAL is a …
A NUMBER THEORETICAL APPROACH TO POLYNOMIALS OVER FINITE FIELDS
N Girgin - Book of abstracts - org.uib.no
Let q be a prime power and Fq be the finite field with q elements. The explicit constructions
of irreducible polynomials over Fq of high degree is one of the main problems in the …
of irreducible polynomials over Fq of high degree is one of the main problems in the …
[HTML][HTML] Iterated constructions of completely normal polynomials
A Aravena - Finite Fields and Their Applications, 2020 - Elsevier
The R σ, t-transform introduced by Bassa and Menares can be used to construct families of
irreducible polynomials in F q [x]. This iterative construction is a generalization of Cohen's R …
irreducible polynomials in F q [x]. This iterative construction is a generalization of Cohen's R …