List questions from finite-fields

Published on 01 Apr 2026 - 8:05

58

Views

Selecting an element of order $q$ in $(\mathbb Z/p\mathbb Z)^*$?

Published on 19 Feb 2016 - 12:53

10.2k

Views

Field with four elements

Published on 11 Apr 2026 - 14:46

59

Views

Pythagoras number of $\mathbb{F}_p$

Published on 28 Mar 2026 - 19:35

9.1k

Views

Construct a field of 25 elements.

Published on 21 Feb 2016 - 13:41

1.2k

Views

Finding the number of irreducible quadratics in $\Bbb Z_p[x]$, where $p$ is a prime

Published on 06 Apr 2026 - 15:06

366

Views

Related Forms for the Riemann Hypothesis over Finite Fields

Published on 21 Feb 2016 - 16:42

297

Views

Constructing $F_4$

Published on 21 Feb 2016 - 20:06

715

Views

Prove that there is no element of order $8$ in $SL(2,3)$

Published on 21 Feb 2016 - 20:31

370

Views

Does two's complement arithmetic produce a field isomorphic to $GF(2^{n}$)?

Published on 05 Apr 2026 - 17:13

376

Views

Does any polynomial with integer coefficients split over some prime field?

Published on 09 Apr 2026 - 18:04

875

Views

Finding isomorphisms between finite fields.

Published on 05 Apr 2026 - 17:11

63

Views

Finite Fields -- the image of certain subfields under a given norm map

Published on 22 Feb 2016 - 23:03

283

Views

Deriving field 'tables'

Published on 23 Feb 2016 - 22:12

1.3k

Views

The number of primitive polynomials of degree $m$ over a finite field $GF(p^m)$

Published on 24 Feb 2016 - 20:19

List Question

How to write -1 as a square in a finite field of characteristic 2

Selecting an element of order $q$ in $(\mathbb Z/p\mathbb Z)^*$?

Field with four elements

Pythagoras number of $\mathbb{F}_p$

Construct a field of 25 elements.

Finding the number of irreducible quadratics in $\Bbb Z_p[x]$, where $p$ is a prime

Related Forms for the Riemann Hypothesis over Finite Fields

Constructing $F_4$

Prove that there is no element of order $8$ in $SL(2,3)$

Does two's complement arithmetic produce a field isomorphic to $GF(2^{n}$)?

Does any polynomial with integer coefficients split over some prime field?

Finding isomorphisms between finite fields.

Finite Fields -- the image of certain subfields under a given norm map

Deriving field 'tables'

The number of primitive polynomials of degree $m$ over a finite field $GF(p^m)$

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