List questions from finite-fields

Published on 27 Feb 2020 - 16:51

94

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System of Linear Equations with a Separable Solution

Published on 27 Feb 2020 - 18:33

111

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Galois group of $x^4-x^2-3$ on $\mathbb{F}_5$

Published on 27 Feb 2020 - 19:49

35

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How to represent a Galois Field with polynomials

Published on 25 Mar 2026 - 6:01

289

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Divisors of $x^n+1$ over $\mathbb F_2$.

Published on 26 Mar 2026 - 11:17

153

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In Lemma 4.7 of AKS, why do distinct polynomials map to distinct elements modulo h(x)?

Published on 26 Mar 2026 - 9:41

100

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Line of arguments for showing why some extension is quartic and unramified

Published on 28 Mar 2026 - 14:44

446

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composite field

Published on 29 Mar 2026 - 22:12

222

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Proving that $f = X^3+2$ is irreducible in $\mathbf{F}_{49}[X]$, and is $f$ irreducible over all $\mathbf{F}_{7^n}$ for $n$ even?

Published on 29 Mar 2026 - 22:09

286

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Can GCD (Euclidean algorithm) be defined/extended for finite fields (interested in $\mathbb{Z}_p$) and if so how

Published on 26 Mar 2026 - 9:40

1.3k

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Finding a primitive element in a field with 27 elements.

Published on 11 Mar 2020 - 8:31

964

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Finite Rings and Product of Finite Fields

Published on 13 Mar 2020 - 5:24

379

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normal basis theorem-proof finite fields

Published on 14 Mar 2020 - 12:07

210

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What is q-linear embedding?

Published on 16 Mar 2020 - 2:42

29

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Polynomial Irreducible in $\mathbb{F}_{2^i}$ for $i\leq{}6$

Published on 16 Mar 2020 - 18:57

List Question

Developed form of composition of polynomials in a finite field

System of Linear Equations with a Separable Solution

Galois group of $x^4-x^2-3$ on $\mathbb{F}_5$

How to represent a Galois Field with polynomials

Divisors of $x^n+1$ over $\mathbb F_2$.

In Lemma 4.7 of AKS, why do distinct polynomials map to distinct elements modulo h(x)?

Line of arguments for showing why some extension is quartic and unramified

composite field

Proving that $f = X^3+2$ is irreducible in $\mathbf{F}_{49}[X]$, and is $f$ irreducible over all $\mathbf{F}_{7^n}$ for $n$ even?

Can GCD (Euclidean algorithm) be defined/extended for finite fields (interested in $\mathbb{Z}_p$) and if so how

Finding a primitive element in a field with 27 elements.

Finite Rings and Product of Finite Fields

normal basis theorem-proof finite fields

What is q-linear embedding?

Polynomial Irreducible in $\mathbb{F}_{2^i}$ for $i\leq{}6$

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