List questions from finite-fields

Published on 17 Apr 2026 - 4:16

171

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Number of points of the elliptic curve $y^2 + y = x^3$ over $F_q$

Published on 16 Apr 2026 - 3:15

45

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How many $(a, b) \in \mathbb{Z}_p^2$ are there such that $ax + b = y \mod p$ for some $x, y \in \mathbb{Z}_p$?

Published on 12 Apr 2026 - 23:11

525

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Number of points on the elliptic curve $y^2 = x^3 - x$ over $\mathbb{F}_q$

Published on 17 Apr 2026 - 8:55

40

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Show if the following polynomials are reducible or not

Published on 13 Apr 2026 - 1:35

36

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LCM in $\mathbb F_q[T]$

Published on 18 Apr 2026 - 13:40

215

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Defining set of a cyclic code

Published on 17 Apr 2026 - 11:51

102

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The best methods for multivariate polynomial equations over finite fields

Published on 09 Apr 2026 - 11:18

65

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On the finite algebra $\Bbb F_q[X]_{<n}$ over $\Bbb F_q$

Published on 17 Apr 2026 - 3:36

562

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Primitive element of $\mathbb{F}_{16}^{\times}$

Published on 15 Apr 2026 - 14:53

610

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Giving a 1-hour talk to highschool math club: any topic suggestion?

Published on 14 Apr 2026 - 5:42

76

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The smallest extension field of $\mathbb{F}_3$ containing all the zeros of $f(x)=x^{11}-1$

Published on 16 Apr 2026 - 2:40

290

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Clubs whose intersections are multiples of six (Oddtown variant)

Published on 26 Mar 2026 - 4:30

49

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Irreducible polynomial in $\mathbb{Z}_{17}$

Published on 14 Apr 2026 - 23:24

91

Views

Lie groups over fields of finite characteristic

Published on 25 Mar 2026 - 23:08

List Question

Adjoining element in a finite field $\mathbb F_{p^n}$ to $\mathbb F_p$ to get $\mathbb F_{p^6}$

Number of points of the elliptic curve $y^2 + y = x^3$ over $F_q$

How many $(a, b) \in \mathbb{Z}_p^2$ are there such that $ax + b = y \mod p$ for some $x, y \in \mathbb{Z}_p$?

Number of points on the elliptic curve $y^2 = x^3 - x$ over $\mathbb{F}_q$

Show if the following polynomials are reducible or not

LCM in $\mathbb F_q[T]$

Defining set of a cyclic code

The best methods for multivariate polynomial equations over finite fields

On the finite algebra $\Bbb F_q[X]_{<n}$ over $\Bbb F_q$

Primitive element of $\mathbb{F}_{16}^{\times}$

Giving a 1-hour talk to highschool math club: any topic suggestion?

The smallest extension field of $\mathbb{F}_3$ containing all the zeros of $f(x)=x^{11}-1$

Clubs whose intersections are multiples of six (Oddtown variant)

Irreducible polynomial in $\mathbb{Z}_{17}$

Lie groups over fields of finite characteristic

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