List questions from finite-fields

112

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find the number of solutions of the equation $a_1x_1+a_2x_2+...+a_nx_n=0$ in a linear space over Galois field

Published on 05 Apr 2014 - 17:17

55

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Number of monic polynomials = $q^n$?

Published on 05 Apr 2014 - 19:21

88

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Construction of a polynomial

Published on 27 Mar 2026 - 16:20

137

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Generators of $\mathbb{F}_9/\mathbb{F}_3$ that do not generate $\mathbb{F}_9^{\times}$

Published on 05 Apr 2014 - 23:23

174

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Multiplicative subgroup of a finite field with prescribed trace.

Published on 25 Mar 2026 - 6:05

602

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Showing an element in a Finite Field can be written as a power.

Published on 06 Apr 2014 - 4:49

2.5k

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Order Of The Intersection of Two Subfields.

Published on 06 Apr 2014 - 5:43

1.1k

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The group structure of elliptic curve over $\mathbb F_p$

Published on 28 Mar 2026 - 21:51

151

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Simpler method to show $k(x)$ is NOT a primitive irreducible polynomial?

Published on 06 Apr 2014 - 21:34

214

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$F$ is a finite field of size $s$. Prove that if $s=2^m$ for some $m>0$, then all elements of F have a square root.

Published on 07 Apr 2014 - 1:26

171

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Finite fields formed from irreducible polynomials

Published on 27 Mar 2026 - 16:20

185

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Finite field and Automorphism

Published on 29 Mar 2026 - 19:25

182

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multiplication in finite fields irreducible polynomial

Published on 08 Apr 2014 - 7:07

294

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Galois field of order $p^n$

Published on 08 Apr 2014 - 7:55

54

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Is this function part of the Galois group?

Published on 10 Apr 2014 - 17:14

List Question

find the number of solutions of the equation $a_1x_1+a_2x_2+...+a_nx_n=0$ in a linear space over Galois field

Number of monic polynomials = $q^n$?

Construction of a polynomial

Generators of $\mathbb{F}_9/\mathbb{F}_3$ that do not generate $\mathbb{F}_9^{\times}$

Multiplicative subgroup of a finite field with prescribed trace.

Showing an element in a Finite Field can be written as a power.

Order Of The Intersection of Two Subfields.

The group structure of elliptic curve over $\mathbb F_p$

Simpler method to show $k(x)$ is NOT a primitive irreducible polynomial?

$F$ is a finite field of size $s$. Prove that if $s=2^m$ for some $m>0$, then all elements of F have a square root.

Finite fields formed from irreducible polynomials

Finite field and Automorphism

multiplication in finite fields irreducible polynomial

Galois field of order $p^n$

Is this function part of the Galois group?

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