List questions from finite-fields

Published on 25 Mar 2026 - 8:09

68

Views

How to diagonalize a $\mathbb{F}_2^{n\times n} $matrix?

Published on 20 Jul 2020 - 16:35

41

Views

How can we compute $|\mathrm{Aut}(M)|$ from a basis for $\mathrm{End}(M)$?

Published on 20 Jul 2020 - 17:13

76

Views

What does this function do? (why do we xor?)

Published on 21 Jul 2020 - 17:32

127

Views

Determine number of divisors of $x^n -1$ of degree $k$. Why are they such a number?

Published on 28 Mar 2026 - 15:12

95

Views

Euclidean mapping question

Published on 26 Mar 2026 - 17:27

1.1k

Views

How to factor $x^k -1$?

Published on 24 Jul 2020 - 7:43

34

Views

Representations of the formulas with the elements of the linear representations of $GF(2^2)$

Published on 24 Jul 2020 - 9:03

85

Views

How can a system $AX=B$ have a solution in $\mathbb{F}_{p}$, when $\det(A) \equiv 0\pmod p$?

Published on 26 Jul 2020 - 17:25

60

Views

$p$ is an odd prime less than $m$ and $a\in \mathbb Z$ then $p|a^m-1$ implies $p|m$

Published on 26 Mar 2026 - 11:18

70

Views

How many elements in $GF(p^m)$ such that it's a $k$-th power of some element and also can be represented as $f(\beta)$ over $GF(p)_{d}[x]$?

Published on 28 Jul 2020 - 4:00

210

Views

Irreducibility over finite fields

Published on 30 Mar 2026 - 15:08

44

Views

Stuck on Classical intro to Modern Number Theory page 157?

Published on 29 Jul 2020 - 18:19

179

Views

Group law of elliptic curves on finite fields

Published on 26 Mar 2026 - 12:36

35

Views

Proportion of "nice" twisted Edwards curve at given finite field size

Published on 30 Mar 2026 - 6:47

List Question

Compute the order of an element in $GL(n, 2)$

How to diagonalize a $\mathbb{F}_2^{n\times n} $matrix?

How can we compute $|\mathrm{Aut}(M)|$ from a basis for $\mathrm{End}(M)$?

What does this function do? (why do we xor?)

Determine number of divisors of $x^n -1$ of degree $k$. Why are they such a number?

Euclidean mapping question

How to factor $x^k -1$?

Representations of the formulas with the elements of the linear representations of $GF(2^2)$

How can a system $AX=B$ have a solution in $\mathbb{F}_{p}$, when $\det(A) \equiv 0\pmod p$?

$p$ is an odd prime less than $m$ and $a\in \mathbb Z$ then $p|a^m-1$ implies $p|m$

How many elements in $GF(p^m)$ such that it's a $k$-th power of some element and also can be represented as $f(\beta)$ over $GF(p)_{d}[x]$?

Irreducibility over finite fields

Stuck on Classical intro to Modern Number Theory page 157?

Group law of elliptic curves on finite fields

Proportion of "nice" twisted Edwards curve at given finite field size

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