New posts in Finite Fields

Pattern of Newton-Raphson iteration $x\mapsto\frac{1}{2}(x+\frac{q}{x})$ over finite fields

Irreducible polynomials of degree greater than 4 over finite fields

Nicer proof that $2^{n+2}$ divides $3^m-1$ if and only if $2^{n}$ divides $m$

Is every primitive element of a finite field of characteristic $2$, a generator of the multiplicative group?

Elementary proof that all fields of four elements are isomorphic to each other

$x^4+x^3+x^2+x+1$ irreducible over $\mathbb F_7$

Galois Theory by Rotman, Exercise 60, a field of four elements by using Kronecker's theorem and adjoining a root of $x^4-x$ to $\Bbb Z_2$

What changes for linear algebra over a finite field?

Understanding Gauss's product formula as cited in Golomb's Shift Register Sequences

On the product $\prod_{1\leq a<b\leq \frac{p-1}{2}}\,\left(a^2+b^2\right)$, where $p$ is prime