List questions from finite-fields

Published on 16 Mar 2017 - 12:25

72

Views

How do you find the elements of $\mathbb{F} _5 [x] / (x^2 + 2)$?

Published on 17 Mar 2017 - 18:41

2.7k

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How many lines are there in the projective plane of a field with $n$ elements?

Published on 31 Mar 2026 - 3:33

24

Views

Minimal $\Bbb F_q[x,y]$ polynomial with some local properties.

Published on 19 Mar 2017 - 9:48

58

Views

Show that $x$ has order $8$ in $\frac{\mathbb{F}_5[x]}{(x^2+2)}$

Published on 19 Mar 2017 - 13:59

1.4k

Views

Why $1\equiv a^{p-1} \mod p$?

Published on 19 Mar 2017 - 15:35

36

Views

Showing that an element is a generator in $\mathbb{F}_{p^n}^{\ast}$

Published on 29 Mar 2026 - 3:53

59

Views

Elliptic Curves over $F_{p^2}$

Published on 01 Apr 2026 - 14:30

148

Views

Showing that for any prime $p$ and any $d\ge 1$, exists a field of size $p^d$

Published on 21 Mar 2017 - 17:17

260

Views

Showing a degree 6 polynomial is irreducible over $\mathbb{Z}_5$

Published on 03 Apr 2026 - 3:36

561

Views

Irreducible polynomial of degree 7 in $\mathbb{Z}_5[x]$

Published on 23 Mar 2017 - 23:14

133

Views

Orders of Galois Field

Published on 24 Mar 2017 - 2:26

195

Views

Number of Distinct Elements in a Finite Field

Published on 24 Mar 2017 - 17:57

150

Views

Checking if a poly. is sym.

Published on 28 Mar 2026 - 20:49

231

Views

How to prove that $x^{-1}+y^{-1}+z^{-1} \ne 0$?

Published on 29 Mar 2026 - 7:19

List Question

The binary splitting field of the equation $x^n-\alpha$

How do you find the elements of $\mathbb{F} _5 [x] / (x^2 + 2)$?

How many lines are there in the projective plane of a field with $n$ elements?

Minimal $\Bbb F_q[x,y]$ polynomial with some local properties.

Show that $x$ has order $8$ in $\frac{\mathbb{F}_5[x]}{(x^2+2)}$

Why $1\equiv a^{p-1} \mod p$?

Showing that an element is a generator in $\mathbb{F}_{p^n}^{\ast}$

Elliptic Curves over $F_{p^2}$

Showing that for any prime $p$ and any $d\ge 1$, exists a field of size $p^d$

Showing a degree 6 polynomial is irreducible over $\mathbb{Z}_5$

Irreducible polynomial of degree 7 in $\mathbb{Z}_5[x]$

Orders of Galois Field

Number of Distinct Elements in a Finite Field

Checking if a poly. is sym.

How to prove that $x^{-1}+y^{-1}+z^{-1} \ne 0$?

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