Question

Show irreducible polynomial by factorization in $\mathbb{F}_2[X]$ and $\mathbb{F}_3[X]$

score 1k · Answer 1 · 2026-04-06 18:17:55

1k

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Show irreducible polynomial by factorization in $\mathbb{F}_2[X]$ and $\mathbb{F}_3[X]$

Published on 06 Apr 2026 - 18:17

score 183 · Answer 2 · 2026-04-09 08:28:22

183

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Finding the spinor norm of an element using a proposition in 'The Maximal Subgroups of the Low-Dimensional Finite Classical Groups'.

Published on 09 Apr 2026 - 8:28

score 6.2k · Answer 3 · 2016-03-16 17:57:07

6.2k

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Easy way to find the order of elements in a finite field

Published on 16 Mar 2016 - 17:57

score 582 · Answer 4 · 2026-03-28 01:12:56

582

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Plotting Elliptic Curve over Finite Field in Maple

Published on 28 Mar 2026 - 1:12

score 48 · Answer 5 · 2016-03-17 02:39:41

48

Views

Proving that $x^4+x^3+1$ has no solution over $\mathrm{GF}(2^e)$, $e$ odd.

Published on 17 Mar 2016 - 2:39

score 928 · Answer 6 · 2026-04-11 10:04:05

928

Views

Polynomials over a field having equal polynomial functions

Published on 11 Apr 2026 - 10:04

score 372 · Answer 7 · 2016-03-20 06:41:48

372

Views

a symmetric matrix over GF(2)

Published on 20 Mar 2016 - 6:41

score 66 · Answer 8 · 2016-03-21 11:15:42

I have vectors over a finite field GF(p) where p is power of a prime. How are all the different ways in which I can define the length of a vector?

score 241 · Answer 9 · 2016-03-22 00:13:19

241

Views

Action on its generators of splitting field of $x^4 +5$

Published on 22 Mar 2016 - 0:13

score 149 · Answer 10 · 2016-03-22 06:02:07

149

Views

Is a finite field algebraic extension of a fixed degree unique or just unique up to isomorphic?

Published on 22 Mar 2016 - 6:02

score 6.1k · Answer 11 · 2016-03-22 09:09:18

6.1k

Views

What are the elements of GF(9)? What is the 'addition' and 'multiplication' operations on this field?

Published on 22 Mar 2016 - 9:09

score 207 · Answer 12 · 2026-04-01 01:37:36

207

Views

Proving existence of an element of trace 1

Published on 01 Apr 2026 - 1:37

score 66 · Answer 13 · 2016-03-22 22:56:28

66

Views

Finite Fields and Discrete Log Problem

Published on 22 Mar 2016 - 22:56

score 165 · Answer 14 · 2026-04-10 20:30:17

165

Views

Finding the solution of smallest magnitude involving a non-injective matrix

Published on 10 Apr 2026 - 20:30

score 201 · Answer 15 · 2026-04-11 16:38:50

201

Views

How do I find the order of an element if I am given the minimal polynomial of the element?

Published on 11 Apr 2026 - 16:38

List Question

Show irreducible polynomial by factorization in $\mathbb{F}_2[X]$ and $\mathbb{F}_3[X]$

Finding the spinor norm of an element using a proposition in 'The Maximal Subgroups of the Low-Dimensional Finite Classical Groups'.

Easy way to find the order of elements in a finite field

Plotting Elliptic Curve over Finite Field in Maple

Proving that $x^4+x^3+1$ has no solution over $\mathrm{GF}(2^e)$, $e$ odd.

Polynomials over a field having equal polynomial functions

a symmetric matrix over GF(2)

I have vectors over a finite field GF(p) where p is power of a prime. How are all the different ways in which I can define the length of a vector?

Action on its generators of splitting field of $x^4 +5$

Is a finite field algebraic extension of a fixed degree unique or just unique up to isomorphic?

What are the elements of GF(9)? What is the 'addition' and 'multiplication' operations on this field?

Proving existence of an element of trace 1

Finite Fields and Discrete Log Problem

Finding the solution of smallest magnitude involving a non-injective matrix

How do I find the order of an element if I am given the minimal polynomial of the element?

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