List questions from finite-fields

Published on 27 Mar 2026 - 3:59

118

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Clarification of proof in Artin's "Algebra"

Published on 27 Mar 2026 - 3:59

345

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How to factor a polynomial over finite fields?

Published on 24 Mar 2026 - 23:43

52

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Recursive formula for points of algebraic curves over finite fields

Published on 27 Mar 2026 - 23:00

66

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Multiplication operation on field with four elements whose underlying set is $\mathbb Z/2\mathbb Z \times \mathbb Z/2\mathbb Z$?

Published on 09 Jun 2019 - 22:24

69

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n-th primitive root of unity and minimal polinomials over a finite field

Published on 10 Jun 2019 - 3:01

70

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How to classify the factorization of polynomials over finite fields?

Published on 24 Mar 2026 - 23:44

390

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Solutions to $y^2 = x^3 + x$ in $\mathbb{P}^2(\mathbb{F_p})$.

Published on 28 Mar 2026 - 7:51

281

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Show that every subfield of F is the set of fixed points under some power of $\phi$, $\phi(a) = a^p$

Published on 10 Jun 2019 - 10:52

53

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Characteritzation of $p$ for Rabin's test

Published on 27 Mar 2026 - 3:59

2.6k

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A finite field of order $p^n$ has characteristic $p$.

Published on 11 Jun 2019 - 17:19

277

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Number of solutions of a polynomial over finite fields

Published on 12 Jun 2019 - 9:50

1.8k

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Distribution of matrix rank over finite fields

Published on 12 Jun 2019 - 14:39

50

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How do we know this is the minimum polynomial of $\alpha \in GF(p^n)$

Published on 12 Jun 2019 - 16:48

50

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Exponentiation of $(x-h)$ divides $f$ if $h$ is a root

Published on 27 Mar 2026 - 3:59

List Question

Irreducibility of polynomials over field of rational functions

Clarification of proof in Artin's "Algebra"

How to factor a polynomial over finite fields?

Recursive formula for points of algebraic curves over finite fields

Multiplication operation on field with four elements whose underlying set is $\mathbb Z/2\mathbb Z \times \mathbb Z/2\mathbb Z$?

n-th primitive root of unity and minimal polinomials over a finite field

How to classify the factorization of polynomials over finite fields?

Solutions to $y^2 = x^3 + x$ in $\mathbb{P}^2(\mathbb{F_p})$.

Show that every subfield of F is the set of fixed points under some power of $\phi$, $\phi(a) = a^p$

Characteritzation of $p$ for Rabin's test

A finite field of order $p^n$ has characteristic $p$.

Number of solutions of a polynomial over finite fields

Distribution of matrix rank over finite fields

How do we know this is the minimum polynomial of $\alpha \in GF(p^n)$

Exponentiation of $(x-h)$ divides $f$ if $h$ is a root

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