New posts in Finite Fields

Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime

Irreducible polynomials have distinct roots?

Do we really need polynomials (In contrast to polynomial functions)?

Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$

Quadratic Extension of Finite field

Roots of an irreducible polynomial in a finite field

Polynomials irreducible over $\mathbb{Q}$ but reducible over $\mathbb{F}_p$ for every prime $p$

How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?

Fields finitely generated as $\mathbb Z$-algebras are finite?

Finding the values of $n$ for which $\mathbb{F}_{5^{n}}$, the finite field with $5^{n}$ elements, contains a non-trivial $93$rd root of unity