Cover Image

A characterization and an explicit description of all primitive polynomials of degree two over finite fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Vega, Gerardo
Format:	Preprint
Published:	2024
Subjects:	General Mathematics 11T71
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A provably quasi-polynomial algorithm for the discrete logarithm problem in finite fields of small characteristic
by: Lido, Guido
Published: (2022)

Maximal curves over finite fields and a modular isogeny
by: Dose, Valerio, et al.
Published: (2025)

Element-wise description of the $\mathcal I$-characterized subgroups of the circle
by: Di Santo, Raffaele, et al.
Published: (2025)

Equidistribution of polynomial sequences in function fields: resolution of a conjecture
by: Champagne, Jérémy, et al.
Published: (2025)

Hulls of Projective Reed-Muller Codes
by: Kaplan, Nathan, et al.
Published: (2024)

A note on polynomial equidistribution and recurrence in finite characteristic
by: Ackelsberg, Ethan, et al.
Published: (2026)

Semi-primitive roots and irreducible quadratic forms
by: Wolf, Marc, et al.
Published: (2024)

Investigation about a statement equivalent to Riemann Hypothesis (RH) applied to Dirichlet primitive L functions
by: Lodone, Giovanni
Published: (2024)

Maximal quadrics over finite fields and minimal codewords of projective Reed-Muller codes
by: Couvreur, Alain, et al.
Published: (2026)

Heterogeneous Stirling numbers and heterogeneous Bell polynomials
by: Kim, Taekyun, et al.
Published: (2025)

A Weyl equidistribution theorem over function fields
by: Ackelsberg, Ethan
Published: (2025)

On Codes over Eisenstein Integers
by: Hadi, Abdul, et al.
Published: (2024)

Binary cyclic codes from permutation polynomials over $\mathbb{F}_{2^m}$
by: Bose, Mrinal Kanti, et al.
Published: (2025)

A rational approximation of the two-term Machin-like formula for $π$
by: Abrarov, Sanjar M., et al.
Published: (2024)

A systematic approach to Diophantine equations: two thousand solved examples
by: Wilcox, Ashleigh
Published: (2024)

Generating random factorisations of polynomial values
by: Badziahin, Dmitry
Published: (2025)

Proof of a Conjecture of Segre and Bartocci on Monomial Hyperovals in Projective Planes
by: Hernando, Fernando, et al.
Published: (2010)

A new criterion for the absolute irreducibility of multivariate polynomials over finite fields
by: Agrinsoni, Carlos, et al.
Published: (2026)

Almost all of the zeros of the Riemann zeta-function are on the critical line
by: Preobrazhenskaya, Tatyana, et al.
Published: (2018)

Chebyshev polynomials and a refinement of the local residue/non-residue structure at a prime
by: Chua, Kok Seng
Published: (2026)

The Exact Enumeration of $4$-nomial and $5$-nomial Multiples of the Product of Primitive Polynomials over GF(2)
by: Takshak, Soniya, et al.
Published: (2025)

Distortion maps for elliptic curves over finite fields
by: Andrusov, Nikita, et al.
Published: (2026)

Certain products of sums of Lambert series
by: Maw, Aung Phone
Published: (2024)

A proof of the twin prime conjecture
by: Agama, Theophilus
Published: (2017)

On Finite Pseudorandom Binary Sequences: Generalized polynomials
by: Madritsch, Manfred G., et al.
Published: (2025)

The p-adic valuation of the general degree-2 and degree-3 polynomial in 2 variables
by: Shubham
Published: (2024)

Weight distributions of two classes of linear codes with few weights derived from Weil sums
by: Bose, Mrinal Kanti, et al.
Published: (2025)

Considerate Ramp Secret Sharing
by: Geil, Olav
Published: (2024)

Higher and extended Jacobi polynomials for codes
by: Chakraborty, Himadri Shekhar, et al.
Published: (2025)

Lucas numbers that are palindromic concatenations of two distinct repdigits
by: Batte, Herbert
Published: (2023)

Legendre Conjecture over Arithmetic Progressions
by: Carella, N. A.
Published: (2024)

A measure of intelligence of an approximation of a real number in a given model
by: Farhi, Bakir
Published: (2017)

Explanation of the Dynamics involved in the 3N+1 Problem A proof for The Collatz Conjecture
by: Bruun, R.
Published: (2021)

Simultaneous Primitive Roots over Finite Rings
by: Carella, N. A.
Published: (2025)

Diophantine approximation with prime denominator in quadratic number fields under GRH
by: Baier, Stephan, et al.
Published: (2023)

Monotonicity and inequalities for the ratios of two Bernoulli polynomials
by: Yang, Zhen-Hang, et al.
Published: (2024)

Counting and equidistribution over primes in hyperbolic groups
by: Petridis, Yiannis N., et al.
Published: (2024)

Pointwise and correlation bounds on Dedekind sums over small subgroups
by: Borda, Bence, et al.
Published: (2023)

Further Investigation on Differential Properties of the Generalized Ness-Helleseth Function
by: Xia, Yongbo, et al.
Published: (2024)

Two Absolutely Irreducible Polynomials over $\Bbb F_2$ and Their Applications to a Conjecture by Carlet
by: Hou, Xiang-dong, et al.
Published: (2025)