List questions from finite-fields

Published on 08 Jun 2015 - 19:14

52

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Identification of two finite fields

Published on 08 Jun 2015 - 21:35

155

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Injectivity and norm function on finite fields

Published on 09 Jun 2015 - 18:52

188

Views

finding all irreducible polynomials over $\mathbb{F}_3$ up to degree $2$, faster method?

Published on 05 Apr 2026 - 10:04

214

Views

Why does the plot of the legendre symbol of $x^2 - y^2$ over a finite field look rectangular

Published on 28 Mar 2026 - 7:38

267

Views

$\alpha \in \overline{\mathbb{F}}_q$ satisfying $\alpha^{q+1}+\alpha=-1$

Published on 11 Jun 2015 - 16:43

48

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find the prime factorization of $x^3-5x^2+6x+7$ in $Z/11Z$

Published on 01 Apr 2026 - 0:09

441

Views

Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$

Published on 26 Mar 2026 - 22:54

106

Views

From where can I study more about Dickson polynomials?

Published on 14 Jun 2015 - 21:33

339

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Counting the number of solutions of equation $x^2 + y^2 = 1$ over $\Bbb Z/p$

Published on 29 Mar 2026 - 19:11

1.2k

Views

Galois group for the algebraic closure of a finite field

Published on 16 Jun 2015 - 10:36

64

Views

How to solve the equation $x^2+Dy^2=\alpha$ over finite fields

Published on 17 Jun 2015 - 12:57

183

Views

Alternative way to count the number of solutions to the equation $x^2 + y^2 = -1$ over $\Bbb Z /p$

Published on 07 Apr 2026 - 14:43

1.5k

Views

Discriminant of Polynomials (Galois Theory)

Published on 25 Mar 2026 - 16:46

264

Views

FSR function of the component-wise product, sum, of two LFSR sequences

Published on 30 Mar 2026 - 7:07

List Question

Roots of a polynomial over a finite field

Identification of two finite fields

Injectivity and norm function on finite fields

finding all irreducible polynomials over $\mathbb{F}_3$ up to degree $2$, faster method?

Why does the plot of the legendre symbol of $x^2 - y^2$ over a finite field look rectangular

$\alpha \in \overline{\mathbb{F}}_q$ satisfying $\alpha^{q+1}+\alpha=-1$

find the prime factorization of $x^3-5x^2+6x+7$ in $Z/11Z$

Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$

From where can I study more about Dickson polynomials?

Counting the number of solutions of equation $x^2 + y^2 = 1$ over $\Bbb Z/p$

Galois group for the algebraic closure of a finite field

How to solve the equation $x^2+Dy^2=\alpha$ over finite fields

Alternative way to count the number of solutions to the equation $x^2 + y^2 = -1$ over $\Bbb Z /p$

Discriminant of Polynomials (Galois Theory)

FSR function of the component-wise product, sum, of two LFSR sequences

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