New posts in finite-fields

Question about LFSR

polynomials finite-fields coding-theory

I have to find a splitting field of $x^{6}-3$ over $\mathbb{F}_{7}$

field-theory finite-fields splitting-field

Why aren't all isogenies over finite fields isomorphisms?

finite-fields elliptic-curves

Is $x+x^{2^t}$ a cube in the finite fields with characteristic 2?

abstract-algebra galois-theory finite-fields elliptic-curves

Two finite fields with the same number of elements are isomorphic

abstract-algebra field-theory finite-fields

Prove that $T$ has a cyclic vector iff its minimal and characteristic polynomials are the same

linear-algebra field-theory finite-fields vector-fields

Are all finite fields isomorphic to $\mathbb{F}_p$?

abstract-algebra field-theory finite-fields

Can extending a finite ground field make modules isomorphic?

abstract-algebra modules finite-fields

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

abstract-algebra finite-fields

Set of primes $p$ which $x^4-x^3-2x^2-2x-1$ completely factors in finite field of order $p$

number-theory finite-fields factoring quadratic-forms cubics

Finding inverse of polynomial in a field

elementary-number-theory field-theory finite-fields

Frobenius Automorphism as a linear map

field-theory finite-fields

Finding irreducible polynomials over GF(2) with the fewest terms

algorithms polynomials finite-fields

Problem in Jacobson's Basic Algebra (Vol. I)

abstract-algebra field-theory finite-fields positive-characteristic

Combinatorics in finite vector space

linear-algebra combinatorics vector-spaces finite-fields

A "generalized field" with $q$ elements, when $q$ is any number?

abstract-algebra algebraic-geometry soft-question finite-fields

Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$ [duplicate]

abstract-algebra polynomials finite-fields irreducible-polynomials

Cat quiz (to solve with the determinant)

linear-algebra matrices determinant finite-fields

How many pairs of nilpotent, commuting matrices are there in $M_n(\mathbb{F}_q)$?

combinatorics matrices polynomials finite-fields

Elliptic curve addition: why does it work in any field?

group-theory arithmetic finite-fields elliptic-curves cryptography