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New posts in finite-fields
What is the intuition behind mapping of elements from $GF(2^8)$ to $GF(((2^2)^2)^2)$?
galois-theory
finite-fields
galois-extensions
Prove that there are $p+1$ points on the elliptic curve $y^2 = x^3 + 1$ over $\mathbb{F}_p$, where $p > 3$ is a prime such that $p \equiv 2 \pmod 3$.
finite-groups
modular-arithmetic
finite-fields
elliptic-curves
Why is $X^4 + \overline{2}$ irreducible in $\mathbb{F}_{125}[X]$?
field-theory
finite-fields
extension-field
irreducible-polynomials
The kernel of the unique homomorphism $\varphi:\mathbb Z\to K$ is a prime ideal.
field-theory
finite-fields
ring-homomorphism
Why does rational trigonometry not work over a field of Characteristic 2?
trigonometry
galois-theory
finite-fields
Is a field perfect iff the primitive element theorem holds for all extensions, and what about function fields
abstract-algebra
field-theory
finite-fields
function-fields
Is it possible to have a vector space in which $\vec{v}=-\vec{v}$, yet $\vec{v}\neq \vec{0}$?
linear-algebra
vector-spaces
proof-writing
field-theory
finite-fields
Addition and multiplication in a Galois Field
galois-theory
finite-fields
coding-theory
Factorize polynomial over $GF(3)$
polynomials
finite-fields
factoring
coding-theory
A property of finite field of order $2^n$
abstract-algebra
finite-fields
Weighted sum of squares, in a finite field
elementary-number-theory
finite-fields
square-numbers
sums-of-squares
The number of non-singular $n\times n$ matrices over $\mathbb{F}_2$ with exactly $k$ non-zero entries
linear-algebra
abstract-algebra
combinatorics
matrices
finite-fields
How is the multiplicative structure of $F_4$ same as that of `Z mod 3`
abstract-algebra
group-theory
finite-fields
The equation $-1 = x^2 + y^2$ in finite fields
abstract-algebra
field-theory
finite-fields
Existence of irreducible polynomial of arbitrary degree over finite field without use of primitive element theorem?
field-theory
galois-theory
finite-fields
Example of ring can’t be defined over finite field.
abstract-algebra
ring-theory
finite-fields
positive-characteristic
Roots of an irreducible polynomial in a finite field
abstract-algebra
finite-fields
Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
abstract-algebra
combinatorics
polynomials
finite-fields
How many essentially different generating sets of cardinality $d +1$ are there in a vector space $V$ of dim $d$ over a field of prime cardinality $p$?
combinatorics
vector-spaces
finite-fields
Calculating AES Round Constants
polynomials
finite-fields
cryptography
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