We count the number of polynomials over finite fields with prescribed leading coefficients and a given number of linear factors.

May 26, 2021 · Abstract:We count the number of polynomials over finite fields with prescribed leading coefficients and a given number of linear factors.

Nov 10, 2022 · Abstract. We count the number of polynomials over finite fields with prescribed leading coefficients and a given number of linear factors.

Counting polynomials over finite fields with prescribed leading coefficients and linear factors · Zhicheng Gao · Published in Finite Fields Their Appl. 26 May ...

We count the number of polynomials over finite fields with prescribed leading coefficients and a given number of linear factors.

Let Fq be the finite field with q elements where q is a prime power. Let D = {x1, x2, . . . , xn} be a given set of n elements from Fq where n ≤ q.

Counting polynomials over finite fields with prescribed leading coefficients and linear factors ; Journal: Finite Fields and Their Applications, 2022, p. 102052.

May 4, 2021 · We use generating functions over group rings to count degree m monic polynomials over a finite field with fixed numbers of irreducible factors ...

We continue our study on counting irreducible polynomials over a finite field with prescribed coefficients. We set up a general combinatorial framework ...

In this paper, we generate algorithms for factoring polynomials with coefficients in finite fields. In particular, we develop one deterministic algorithm due to ...