Anna-Maurin Graner

collaborators

2 papers

math.NT2023

Closed formulas for the factorization of $X^{n} - 1$ , the $n$ -th cyclotomic polynomial, $X^{n} - a$ and $f (X^{n})$ over a finite field for arbitrary positive integers $n$

Anna-Maurin Graner

The factorizations of the polynomial $X^{n} - 1$ and the cyclotomic polynomial $Φ_{n}$ over a finite field $F_{q}$ have been studied for a very long time. Explicit factorizations h…

math.NT2023

Constructing irreducible polynomials recursively with a reverse composition method

Anna-Maurin Graner, Gohar M. Kyureghyan

We suggest a construction of the minimal polynomial $m_{β^{k}}$ of $β^{k} \in F_{q^{n}}$ over $F_{q}$ from the minimal polynomial $f = m_{β}$ for all positive integers $k$ whos…

Closed formulas for the factorization of Xn−1, the n-th cyclotomic polynomial, Xn−a and f(Xn) over a finite field for arbitrary positive integers n

Constructing irreducible polynomials recursively with a reverse composition method

Closed formulas for the factorization of $X^{n} - 1$ , the $n$ -th cyclotomic polynomial, $X^{n} - a$ and $f (X^{n})$ over a finite field for arbitrary positive integers $n$