New posts in Finite Fields

Is $x^5 + x^3 + 1$ irreducible in $\mathbb{F}_{32}$ and $\mathbb{F}_8$?

Properties of a finite field extension of degree 2.

Show that $\mathrm{SO}_3(\mathbb{Q}_p) \simeq \mathrm{SL}_2(\mathbb{Q}_p) $

Can every element of a finite field be written as a sum of two non-squares?

Is $\mathbf{Z}[X]/(2,X^2+1)$ a field/PID?

Roots of $x^p + x + [\alpha]_p \in \mathbb{F}_p[x]$

Residue fields of schemes of finite type (over $\mathbb{Z}$)

Why are the elements of a galois/finite field represented as polynomials?

Splitting Field of the polynomial $x^4+x+1$ over $\mathbb{F}_2$.

Show $a^2 + b^2 + 1 \equiv 0 \mod p$ always has a solution if $p = 4k+3$