New posts in finite-fields

Inclusion of Fields whose order is a prime power

abstract-algebra finite-fields

There are $10$ commutative rings of order $8$

combinatorics ring-theory commutative-algebra finite-fields

Computing primitive roots of unity in a Finite Field extension

galois-theory finite-fields cyclotomic-polynomials

When is $(a+b)^n \equiv a^n+b^n$?

algebra-precalculus finite-fields equivalence-relations binomial-theorem

Addition and Multiplication in $F_4$ [duplicate]

finite-fields

Formula for number of solutions to $x^4+y^4=1$, from Ireland and Rosen #8.18.

number-theory elementary-number-theory algebraic-number-theory finite-fields characters

normal basis of GF(16)/GF(2) and field trace [duplicate]

finite-fields

Does $t^{p-1}$ have an antiderivative in $\Bbb F_q(t)$?

abstract-algebra field-theory finite-fields rational-functions function-fields

Construction of addition and multiplication table for GF(4)

finite-fields irreducible-polynomials

What changes for linear algebra over a finite field?

linear-algebra finite-fields intuition

Prove that the number of $\alpha\in\mathbb{F}_{27}$ such that $|A_\alpha|=26 $ equals 12.

field-theory finite-fields

A field of order $32$

abstract-algebra field-theory finite-fields

Irreducible polynomials have distinct roots?

finite-fields

Product of all monic irreducibles with degree dividing $n$ in $\mathbb{F}_{q}$?

abstract-algebra polynomials finite-fields irreducible-polynomials

Square roots of the basic Jordan block of order $n$ associated with the eigenvalue $1$

matrices finite-fields matrix-equations matrix-decomposition jordan-normal-form

Can you construct a field with 6 elements? [duplicate]

abstract-algebra field-theory finite-fields

What is the connection between Weil's character bound and Riemann Hypothesis over finite fields

number-theory algebraic-geometry finite-fields

Elements in finite field extensions

abstract-algebra field-theory finite-fields

How to check that a cubic polynomial is irreducible?

abstract-algebra polynomials finite-fields irreducible-polynomials

Irreducible polynomial of $\mathrm{GF}(2^{16})$

polynomials finite-fields