List questions from finite-fields

Published on 17 Apr 2026 - 1:12

310

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Most efficient way to find distinct complementary subspaces over a finite field

Published on 13 Apr 2026 - 5:41

10.8k

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automorphisms of a finite field

Published on 13 Apr 2026 - 18:13

571

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irreducibility of $x^{5}-2$ over $\mathbb{F}_{11}$.

Published on 16 Apr 2026 - 3:43

1.2k

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Galois group of $X^4+X^3+1$ over $\mathbb{F}_4$

Published on 15 Apr 2026 - 17:25

253

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Quotient group element is a unit

Published on 12 Apr 2026 - 17:59

304

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Finding the order of an irreducible polynomial $f$ in $F_3[x]$ of degree 4?

Published on 15 Apr 2026 - 4:36

230

Views

Proving $f = x^8+x^7+x^3+x+1$ to be irreducible over $\mathbf{F}_2$.

Published on 16 Apr 2026 - 20:54

131

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Prove identity in quotient group

Published on 11 Apr 2026 - 19:11

3.6k

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$GL_n(\mathbb F_q)$ has an element of order $q^n-1$

Published on 26 Mar 2026 - 13:01

1.9k

Views

How to construct finite fields of any prime power order?

Published on 13 Apr 2026 - 9:17

187

Views

For a finite field $F$ of order $n$, all elements are roots of $x^n - x$

Published on 15 Apr 2026 - 17:20

321

Views

How to construct $\mathbb{GF}(4^2)$ from $\mathbb{GF}(4)$?

Published on 13 Apr 2026 - 20:40

1.3k

Views

Number of elements which are cubes/higher powers in a finite field.

Published on 13 Apr 2026 - 17:57

112

Views

Counting equivalent funtions over GF(2^n)

Published on 12 Apr 2026 - 17:12

List Question

classification of $2$-dimensional field extensions

Most efficient way to find distinct complementary subspaces over a finite field

automorphisms of a finite field

irreducibility of $x^{5}-2$ over $\mathbb{F}_{11}$.

Galois group of $X^4+X^3+1$ over $\mathbb{F}_4$

Quotient group element is a unit

Finding the order of an irreducible polynomial $f$ in $F_3[x]$ of degree 4?

Proving $f = x^8+x^7+x^3+x+1$ to be irreducible over $\mathbf{F}_2$.

Prove identity in quotient group

$GL_n(\mathbb F_q)$ has an element of order $q^n-1$

How to construct finite fields of any prime power order?

For a finite field $F$ of order $n$, all elements are roots of $x^n - x$

How to construct $\mathbb{GF}(4^2)$ from $\mathbb{GF}(4)$?

Number of elements which are cubes/higher powers in a finite field.

Counting equivalent funtions over GF(2^n)

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