List questions from finite-fields

Published on 09 Apr 2026 - 18:21

1k

Views

The number of elements in the special linear group over the finite field $\mathbb{Z}/p$

Published on 01 Feb 2016 - 14:00

1.3k

Views

How Do I Apply the Cantor-Zassenhaus algorithm to $\mathbb{F}_2$?

Published on 07 Apr 2026 - 22:56

826

Views

Why extend the perfect binary Golay code?

Published on 31 Mar 2026 - 9:49

84

Views

Minimize the rank of a matrix with some entries known

Published on 25 Mar 2026 - 13:13

701

Views

Find GCD of polynomials over GF(101)

Published on 01 Apr 2026 - 15:05

190

Views

A two-variable quadratic form over a field of characteristic 2 with no nontrivial roots

Published on 01 Apr 2026 - 11:51

46

Views

$a^{(p-1)/n}=1$ implies $b^n=a$ for some $b\in\mathbb F_p$?

Published on 02 Apr 2026 - 11:25

162

Views

Is $\mathbb{Z}[x]/(x^2 + x + 1, 9)$ isomorphic to $\mathbb{F}_{81}$?

Published on 06 Apr 2026 - 13:27

901

Views

Number of solutions for the given equation in finite field of order 32.

Published on 05 Feb 2016 - 14:06

67

Views

Twisted centralizer

Published on 06 Feb 2016 - 14:29

20

Views

order of a subrgoup of rank $r\geq 2$ in $\mathbb{F}_p^*$

Published on 06 Feb 2016 - 17:12

658

Views

Existence of elements of even order in a field with characteristic 2

Published on 06 Feb 2016 - 18:38

1.2k

Views

Number of solutions in a field of order $32$

Published on 07 Feb 2016 - 3:29

6.8k

Views

Examples of fields with characteristic $2$.

Published on 08 Feb 2016 - 6:43

List Question

On analogy between $\Bbb Z$ and $\Bbb F_q[x]$

The number of elements in the special linear group over the finite field $\mathbb{Z}/p$

How Do I Apply the Cantor-Zassenhaus algorithm to $\mathbb{F}_2$?

Why extend the perfect binary Golay code?

Minimize the rank of a matrix with some entries known

Find GCD of polynomials over GF(101)

A two-variable quadratic form over a field of characteristic 2 with no nontrivial roots

$a^{(p-1)/n}=1$ implies $b^n=a$ for some $b\in\mathbb F_p$?

Is $\mathbb{Z}[x]/(x^2 + x + 1, 9)$ isomorphic to $\mathbb{F}_{81}$?

Number of solutions for the given equation in finite field of order 32.

Twisted centralizer

order of a subrgoup of rank $r\geq 2$ in $\mathbb{F}_p^*$

Existence of elements of even order in a field with characteristic 2

Number of solutions in a field of order $32$

Examples of fields with characteristic $2$.

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