List questions from finite-fields

Published on 23 Mar 2026 - 2:32

87

Views

I have a curve but I dont know how find it genus.

Published on 08 Apr 2018 - 6:41

44

Views

degree of quotient $K[X]/P_{\alpha}$

Published on 09 Apr 2018 - 19:19

852

Views

Counting matrices over a finite field.

Published on 09 Apr 2018 - 21:49

32

Views

What is the general algorithm for factoring a polynomial in $GF(n)$?

Published on 11 Apr 2018 - 0:06

164

Views

Existence of matrix with certain property over a finite field

Published on 25 Mar 2026 - 9:27

172

Views

How many elements in a field of size $3^4 (81)$ have multiplicative order $20$?

Published on 11 Apr 2018 - 11:21

242

Views

Boolean function to Algebraic Normal Form

Published on 25 Mar 2026 - 12:45

144

Views

Prove that $\forall n \geq 1$ there exists a field containing $n$ subfields

Published on 13 Apr 2018 - 6:30

83

Views

Degree of an extension field

Published on 25 Mar 2026 - 5:01

210

Views

A finite ring of matrices is a finite field

Published on 13 Apr 2018 - 16:01

901

Views

Field with one element in an elementary context

Published on 14 Apr 2018 - 11:47

572

Views

How to find the degree and a basis for $GF(64)$ over $GF(2)$

Published on 14 Apr 2018 - 23:44

55

Views

Roots of $x^6+tx^3+t$ in $\mathbb{F}_3(t)[x]$

Published on 15 Apr 2018 - 15:48

366

Views

Degree of splitting field of $x^6+tx^3+t$ in $\mathbb{F}_3(t)[x]$

Published on 25 Mar 2026 - 11:24

List Question

Is the image of $\Phi_n(x) \in \mathbb{Z}[x]$ in $\mathbb{F}_q[x]$ still a cyclotomic polynomial?

I have a curve but I dont know how find it genus.

degree of quotient $K[X]/P_{\alpha}$

Counting matrices over a finite field.

What is the general algorithm for factoring a polynomial in $GF(n)$?

Existence of matrix with certain property over a finite field

How many elements in a field of size $3^4 (81)$ have multiplicative order $20$?

Boolean function to Algebraic Normal Form

Prove that $\forall n \geq 1$ there exists a field containing $n$ subfields

Degree of an extension field

A finite ring of matrices is a finite field

Field with one element in an elementary context

How to find the degree and a basis for $GF(64)$ over $GF(2)$

Roots of $x^6+tx^3+t$ in $\mathbb{F}_3(t)[x]$

Degree of splitting field of $x^6+tx^3+t$ in $\mathbb{F}_3(t)[x]$

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