A generalization of the Hansen-Mullen conjecture on irreducible polynomials over finite fields
From MaRDI portal
Publication:765803
DOI10.1016/j.ffa.2011.09.003zbMath1255.11060OpenAlexW2000061862WikidataQ123025083 ScholiaQ123025083MaRDI QIDQ765803
Daniel Panario, Georgios Tzanakis
Publication date: 22 March 2012
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2011.09.003
Related Items (8)
ON THE PRODUCT OF ELEMENTS WITH PRESCRIBED TRACE ⋮ Prescribing coefficients of invariant irreducible polynomials ⋮ New estimates and existence results about irreducible polynomials and self-reciprocal irreducible polynomials with prescribed coefficients over a finite field ⋮ On the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials ⋮ Squarefree polynomials with prescribed coefficients ⋮ Irreducible polynomials with several prescribed coefficients ⋮ A new proof of the Hansen-Mullen irreducibility conjecture ⋮ The number of irreducible polynomials over finite fields of characteristic 2 with given trace and subtrace
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The parity of the number of irreducible factors for some pentanomials
- Primitive normal polynomials with the last half coefficients prescribed
- Swan-like results for binomials and trinomials over finite fields of odd characteristic
- The distribution of irreducible polynomials in \(\mathbb{F}_q[t\)]
- The number of irreducible polynomials of degree \(n\) over \(\mathbb F_q\) with given trace and constant terms
- Efficient \(p\)th root computations in finite fields of characteristic \(p\)
- Factorization of polynomials over finite fields
- Irreducible polynomials over a finite field and an analogue of Gauss sums over a field of characteristic 2
- Primitive normal bases with prescribed trace
- Irreducible polynomials over \(\mathrm{GF}(2)\) with three prescribed coefficients.
- Primitive polynomials over finite fields of characteristic two
- Primitivity, freeness, norm and trace
- On the distribution of irreducible trinomials over \(\mathbb F_3\)
- Irreducible polynomials with consecutive zero coefficients
- Swan's theorem for binary tetranomials
- Primitive polynomials with a prescribed coefficient
- Explicit theorems on generator polynomials
- Ten new primitive binary trinomials
- Irreducible polynomials with prescribed trace and restricted norm
- Fast evaluation of logarithms in fields of characteristic two
- Kloosterman sums, elliptic curves, and irreducible polynomials with prescribed trace and norm
- Primitive Polynomials Over Finite Fields
- Distribution des polynômes irréductibles dans $
- Generators and irreducible polynomials over finite fields
- Distribution of irreducible polynomials of small degrees over finite fields
- Irreducible trinomials over finite fields
- $p$ -ADIC FORMAL SERIES AND COHENS PROBLEM This work was supported by NSF of China with contract No. 19971096 and No. 90104035.
- The distribution of polynomials over finite fields
- A Theorem of Dickson on Irreducible Polynomials
- Proof of a conjecture of S. Chowla
This page was built for publication: A generalization of the Hansen-Mullen conjecture on irreducible polynomials over finite fields
