Question

$\mathbb F_9 = \mathbb F_3(i)$ Question about squares

score 187 · Answer 1 · 2013-06-11 16:49:26

187

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$\mathbb F_9 = \mathbb F_3(i)$ Question about squares

Published on 11 Jun 2013 - 16:49

score 152 · Answer 2 · 2026-04-12 19:50:18

152

Views

counting symmetric nilpotent matrices

Published on 12 Apr 2026 - 19:50

score 66 · Answer 3 · 2013-06-15 15:04:23

66

Views

Solutions of $ 0 = x^2 -ay^2 -1$ in $\mathbb F_q$ where $a$ is not a square.

Published on 15 Jun 2013 - 15:04

score 12.7k · Answer 4 · 2026-03-25 22:01:51

12.7k

Views

multiplication in GF(256) (AES algorithm)

Published on 25 Mar 2026 - 22:01

score 1.1k · Answer 5 · 2026-03-25 14:32:40

1.1k

Views

Programmatically solving a system of nonlinear equations over GF(2)

Published on 25 Mar 2026 - 14:32

score 71 · Answer 6 · 2026-03-25 16:08:37

71

Views

a codeword over $\operatorname{GF}(4)$ -> two codewords over $\operatorname{GF}(2)$ using MAGMA

Published on 25 Mar 2026 - 16:08

score 373 · Answer 7 · 2026-04-07 03:35:53

373

Views

A first order theory whose finite models are exactly the $\Bbb F_p$

Published on 07 Apr 2026 - 3:35

score 936 · Answer 8 · 2026-04-07 03:36:32

936

Views

A finite first order theory whose finite models are exactly the $\Bbb F_p$?

Published on 07 Apr 2026 - 3:36

score 2.2k · Answer 9 · 2013-06-20 09:40:37

2.2k

Views

Proof of Galois' theorem that there exists a field of $p^n$ elements.

Published on 20 Jun 2013 - 9:40

score 323 · Answer 10 · 2013-06-22 18:15:22

323

Views

If $f\in\mathbb{F}_p[x]$ is irreducible and has a root in $\mathbb{F}_{p^n}$, then $f$ splits over $\mathbb{F}_{p^n}$

Published on 22 Jun 2013 - 18:15

score 192 · Answer 11 · 2026-04-12 15:49:24

192

Views

Union of proper subspaces, which is correct?

Published on 12 Apr 2026 - 15:49

score 19k · Answer 12 · 2026-04-07 16:16:36

19k

Views

Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime

Published on 07 Apr 2026 - 16:16

score 199 · Answer 13 · 2026-03-28 22:38:02

199

Views

Splitting field of $(x^3 + x - 1)(x^4 + x - 1)$ over $\mathbb{F}_3$

Published on 28 Mar 2026 - 22:38

score 661 · Answer 14 · 2013-07-01 16:36:20

661

Views

Factoring polynomials of the form $1+x+\cdots +x^{p-1}$ in finite field

Published on 01 Jul 2013 - 16:36

score 386 · Answer 15 · 2013-07-04 09:10:39

386

Views

Diophantine equation $x^2-dy^2=k$ in $\mathbb{Z}_n$

Published on 04 Jul 2013 - 9:10

List Question

$\mathbb F_9 = \mathbb F_3(i)$ Question about squares

counting symmetric nilpotent matrices

Solutions of $ 0 = x^2 -ay^2 -1$ in $\mathbb F_q$ where $a$ is not a square.

multiplication in GF(256) (AES algorithm)

Programmatically solving a system of nonlinear equations over GF(2)

a codeword over $\operatorname{GF}(4)$ -> two codewords over $\operatorname{GF}(2)$ using MAGMA

A first order theory whose finite models are exactly the $\Bbb F_p$

A finite first order theory whose finite models are exactly the $\Bbb F_p$?

Proof of Galois' theorem that there exists a field of $p^n$ elements.

If $f\in\mathbb{F}_p[x]$ is irreducible and has a root in $\mathbb{F}_{p^n}$, then $f$ splits over $\mathbb{F}_{p^n}$

Union of proper subspaces, which is correct?

Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime

Splitting field of $(x^3 + x - 1)(x^4 + x - 1)$ over $\mathbb{F}_3$

Factoring polynomials of the form $1+x+\cdots +x^{p-1}$ in finite field

Diophantine equation $x^2-dy^2=k$ in $\mathbb{Z}_n$

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