Question

Doubt in algebraic closure of a finite fields

score 202 · Answer 1 · 2023-10-03 20:13:35

202

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Doubt in algebraic closure of a finite fields

Published on 03 Oct 2023 - 20:13

score 20 · Answer 2 · 2023-10-04 06:20:34

20

Views

How many solutions to $ax + by = cz + dt$ and $ax^2 + by^2 = cz^2 + dt^2$?

Published on 04 Oct 2023 - 6:20

score 41 · Answer 3 · 2026-03-30 11:33:53

41

Views

Equivalent Rational functions over finite fields

Published on 30 Mar 2026 - 11:33

score 123 · Answer 4 · 2023-10-06 15:06:10

123

Views

characteristic of a $p^k$-elements field when $p$ is prime

Published on 06 Oct 2023 - 15:06

score 78 · Answer 5 · 2023-10-06 16:34:00

78

Views

Projective curve without regular points?

Published on 06 Oct 2023 - 16:34

score 108 · Answer 6 · 2023-10-06 18:25:56

108

Views

Roots of cubic equations in field of characteristic $3$

Published on 06 Oct 2023 - 18:25

score 124 · Answer 7 · 2026-03-25 04:44:21

124

Views

Fixed field of the linear fractional maps ($X \to \frac{aX+b}{cX+d}$) of $k(X)$ where $k$ is finite.

Published on 25 Mar 2026 - 4:44

score 40 · Answer 8 · 2023-10-07 15:28:12

Factoring $f(x)-c$ over $\mathbb{F}_q$, where $f(x)=\prod_{v\in V}(x-v)$ for some subgroup $V$ of $\mathbb{F}_q^+$ and $c\in \mathbb{F}_q.$

score 146 · Answer 9 · 2026-04-03 18:10:49

146

Views

Characterization of irreducible polynomials over finite fields - alternative proof?

Published on 03 Apr 2026 - 18:10

score 89 · Answer 10 · 2026-03-25 11:16:41

89

Views

Why can't individual terms of a summation not cancel each other in the 2nd case?

Published on 25 Mar 2026 - 11:16

score 29 · Answer 11 · 2026-03-25 06:21:22

29

Views

need to calculate A^(-x) in finite fields for inverse dft

Published on 25 Mar 2026 - 6:21

score 56 · Answer 12 · 2023-10-10 19:16:42

56

Views

generalization of $X^p-X=0$ to $X^{p^n}-X=0$ about finite fields when $p$ is prime

Published on 10 Oct 2023 - 19:16

score 100 · Answer 13 · 2023-10-11 21:53:04

100

Views

union of fix points of $f\in\operatorname{Gal}(K/F)\setminus\{1\}$ is a proper subset of $K$

Published on 11 Oct 2023 - 21:53

score 41 · Answer 14 · 2026-02-23 10:16:44

41

Views

Is $\alpha \in \mathbb{F}_{p^n}$ separable over $\mathbb{F}_p(t)$?

Published on 23 Feb 2026 - 10:16

score 49 · Answer 15 · 2026-03-25 06:24:32

49

Views

How to associate trace on finite fields with linear algebraic trace

Published on 25 Mar 2026 - 6:24

List Question

Doubt in algebraic closure of a finite fields

How many solutions to $ax + by = cz + dt$ and $ax^2 + by^2 = cz^2 + dt^2$?

Equivalent Rational functions over finite fields

characteristic of a $p^k$-elements field when $p$ is prime

Projective curve without regular points?

Roots of cubic equations in field of characteristic $3$

Fixed field of the linear fractional maps ($X \to \frac{aX+b}{cX+d}$) of $k(X)$ where $k$ is finite.

Factoring $f(x)-c$ over $\mathbb{F}_q$, where $f(x)=\prod_{v\in V}(x-v)$ for some subgroup $V$ of $\mathbb{F}_q^+$ and $c\in \mathbb{F}_q.$

Characterization of irreducible polynomials over finite fields - alternative proof?

Why can't individual terms of a summation not cancel each other in the 2nd case?

need to calculate A^(-x) in finite fields for inverse dft

generalization of $X^p-X=0$ to $X^{p^n}-X=0$ about finite fields when $p$ is prime

union of fix points of $f\in\operatorname{Gal}(K/F)\setminus\{1\}$ is a proper subset of $K$

Is $\alpha \in \mathbb{F}_{p^n}$ separable over $\mathbb{F}_p(t)$?

How to associate trace on finite fields with linear algebraic trace

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