List questions from finite-fields

Published on 15 Apr 2026 - 22:50

102

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how to check for irreducibility

Published on 26 Mar 2026 - 1:07

919

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How do I factor for irreducible in F2[x]?

Published on 10 Apr 2026 - 3:42

369

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Group rings of elementary Abelian p-groups over finite fields

Published on 17 Apr 2026 - 11:15

349

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How to find an algorithm to shut down all lamps with minimum number of moves?

Published on 11 Apr 2026 - 0:58

41

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Can this be considered as an operation over a quotient ring?

Published on 12 Apr 2026 - 12:51

1.4k

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Irreducible factors of polynomial $X^{p^n}-X$ over $\mathbb{F}_{p^i}[X]$

Published on 17 Apr 2026 - 8:44

55

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$f(x)=x^3+x^2+1$ over $Z_2[x]$. What are the automorphisms of this field???

Published on 15 Apr 2026 - 13:23

592

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Compute the addition table of the finite field $\mathbb{F}_8$

Published on 16 Apr 2026 - 5:49

269

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On the Mobius function over finite fields

Published on 11 Apr 2026 - 5:50

349

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Test if a polynomial is a square

Published on 15 Apr 2026 - 18:56

172

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Lifting a char $p$ variety to char $0$

Published on 16 Apr 2026 - 8:57

265

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If every polynomial of degree 2 is reducible then $K$ is algebraically closed?

Published on 10 Apr 2026 - 19:56

202

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Counting elements with prescribed trace and norm in finite field extension.

Published on 10 Apr 2026 - 13:52

622

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How to construct $F_2[x]/(x^3+x^2+1)$ quotient ring and check whether it is a field?

Published on 14 Apr 2026 - 7:25

List Question

Left-multiplication of a finite field element - Matrix representation

how to check for irreducibility

How do I factor for irreducible in F2[x]?

Group rings of elementary Abelian p-groups over finite fields

How to find an algorithm to shut down all lamps with minimum number of moves?

Can this be considered as an operation over a quotient ring?

Irreducible factors of polynomial $X^{p^n}-X$ over $\mathbb{F}_{p^i}[X]$

$f(x)=x^3+x^2+1$ over $Z_2[x]$. What are the automorphisms of this field???

Compute the addition table of the finite field $\mathbb{F}_8$

On the Mobius function over finite fields

Test if a polynomial is a square

Lifting a char $p$ variety to char $0$

If every polynomial of degree 2 is reducible then $K$ is algebraically closed?

Counting elements with prescribed trace and norm in finite field extension.

How to construct $F_2[x]/(x^3+x^2+1)$ quotient ring and check whether it is a field?

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