Question

Partial fraction decomposition over $\mathbb{F}_{n}[x]$

score 52 · Answer 1 · 2026-03-28 10:32:23

52

Views

Partial fraction decomposition over $\mathbb{F}_{n}[x]$

Published on 28 Mar 2026 - 10:32

score 70 · Answer 2 · 2026-03-29 11:07:59

70

Views

Extending a field homomorphism on a finite field

Published on 29 Mar 2026 - 11:07

score 92 · Answer 3 · 2023-11-16 16:24:43

92

Views

Find a normal basis for $\Bbb F_2[\omega]$ over $\Bbb F_2$.

Published on 16 Nov 2023 - 16:24

score 41 · Answer 4 · 2023-11-17 06:42:34

41

Views

Factorize $x^3-1$ in $F_3[x]$ into irreducible polynomials

Published on 17 Nov 2023 - 6:42

score 48 · Answer 5 · 2026-03-26 14:34:42

48

Views

Cohomology $H(X^{(p)}, \mathbb Q_{\ell})$ of the Frobenius twist of a variety over a finite field

Published on 26 Mar 2026 - 14:34

score 28 · Answer 6 · 2023-11-17 10:36:30

28

Views

confusion with $\psi$ isomorphism in Witt ring in Jacobson's book

Published on 17 Nov 2023 - 10:36

score 56 · Answer 7 · 2023-11-18 06:03:59

56

Views

Fields of characteristic $p$ where there exists an element $a$ that is not a p:th power.

Published on 18 Nov 2023 - 6:03

score 50 · Answer 8 · 2023-11-19 15:42:05

50

Views

For any prime $p$ and any non-zero $a \in \mathbb{F}_p$, prove that $p(x) = x^p-x+a$ is irreducible and seperable.

Published on 19 Nov 2023 - 15:42

score 100 · Answer 9 · 2023-11-19 16:50:45

100

Views

Roots of a irreducible polynomial are linearly independent over a finite field.

Published on 19 Nov 2023 - 16:50

score 53 · Answer 10 · 2023-11-19 17:04:16

53

Views

Constructing the algebraic closure of $\mathbb{F}_{p}$

Published on 19 Nov 2023 - 17:04

score 74 · Answer 11 · 2026-03-28 11:42:42

74

Views

Clarification on Multiplication in $GF(2^3)$ vs. Boolean Algebra

Published on 28 Mar 2026 - 11:42

score 144 · Answer 12 · 2026-03-30 18:19:14

144

Views

Solve the matrix equation for $X$

Published on 30 Mar 2026 - 18:19

score 30 · Answer 13 · 2026-03-29 19:17:29

30

Views

In a generator matrix of a linear block code ,how does increasing linear vectors in a field $F^k$ has $q^k-q^i$ choices?

Published on 29 Mar 2026 - 19:17

score 101 · Answer 14 · 2023-11-21 16:31:30

101

Views

Number of solutions to $x^2−y^2=a$ over a finite field.

Published on 21 Nov 2023 - 16:31

score 56 · Answer 15 · 2023-11-22 19:29:01

56

Views

$\alpha \in \mathbb{F}_{p^n}$ is in $\mathbb{F}_p$ if and only if $\alpha^p = \alpha$.

Published on 22 Nov 2023 - 19:29

List Question

Partial fraction decomposition over $\mathbb{F}_{n}[x]$

Extending a field homomorphism on a finite field

Find a normal basis for $\Bbb F_2[\omega]$ over $\Bbb F_2$.

Factorize $x^3-1$ in $F_3[x]$ into irreducible polynomials

Cohomology $H(X^{(p)}, \mathbb Q_{\ell})$ of the Frobenius twist of a variety over a finite field

confusion with $\psi$ isomorphism in Witt ring in Jacobson's book

Fields of characteristic $p$ where there exists an element $a$ that is not a p:th power.

For any prime $p$ and any non-zero $a \in \mathbb{F}_p$, prove that $p(x) = x^p-x+a$ is irreducible and seperable.

Roots of a irreducible polynomial are linearly independent over a finite field.

Constructing the algebraic closure of $\mathbb{F}_{p}$

Clarification on Multiplication in $GF(2^3)$ vs. Boolean Algebra

Solve the matrix equation for $X$

In a generator matrix of a linear block code ,how does increasing linear vectors in a field $F^k$ has $q^k-q^i$ choices?

Number of solutions to $x^2−y^2=a$ over a finite field.

$\alpha \in \mathbb{F}_{p^n}$ is in $\mathbb{F}_p$ if and only if $\alpha^p = \alpha$.

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