New posts in Finite Fields

$p^{th}$ roots of a field with characteristic $p$

Galois theory and cryptography

Suppose that poynomial $x^4+x+1$ has multiple roots over a field of characteristic $p$ . What are the possible values of $p$

Sums of squares in characteristic 3

How to prove that $x^{-1}+y^{-1}+z^{-1} \ne 0$?

Proof of Wilson's theorem via finite fields?

What is the decomposition of the ring $\mathbb{F}_p[x]/(x^n-1)$?

How to imagine vector spaces (and projective spaces) over a finite field

In a finite field product of non-square elements is a square

Field with $125$ elements