List questions from finite-fields

Published on 06 Apr 2026 - 8:07

82

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irreducibility test for multinomials over a finite field

Published on 11 Apr 2026 - 22:30

63

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Order of an orbit of Frobenius action on a algebraically closed field of characteristic p

Published on 03 May 2016 - 15:55

308

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Find normal basis of the field $GF(3^6)$ and find the normal matrix

Published on 01 Apr 2026 - 19:40

41

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How to prove $t(x)-x\in F_{p}$ when $p(x) \in K$, $K$ a field whose characteristic is $p>0$

Published on 05 May 2016 - 16:29

71

Views

Minimum cardinality module for a fixed finite ring

Published on 12 Apr 2026 - 7:25

193

Views

Is $\mathbb{F}_{81}$ a field extension of $\mathbb{F}_{27}$?

Published on 08 May 2016 - 6:35

385

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Is the field $\mathbb{F}_{64}$ the splitting field of $x^8-x$ over $\mathbb{F}_4$?

Published on 08 May 2016 - 7:34

180

Views

Roots of the equation $x^2+1=0$ in $\Bbb Z/p^{n}\Bbb Z$

Published on 09 May 2016 - 10:06

184

Views

The Cardinality of a subset of field of 8 elements

Published on 09 May 2016 - 13:27

2.9k

Views

Isomorphism between two polynomial quotient fields

Published on 09 May 2016 - 14:48

164

Views

Homotopy continuations for solving systems of equations over a finite field

Published on 09 May 2016 - 19:45

1.4k

Views

Cardinality of a finite field is $p^{n}$

Published on 10 May 2016 - 8:12

329

Views

Generalised Gauss sums

Published on 28 Mar 2026 - 20:03

1.9k

Views

The degree of the field extension $\mathbb{Q}(\sqrt{5},w): \mathbb{Q}$

Published on 11 May 2016 - 14:57

List Question

How are Gauss sums the analogue of the gamma function for finite fields?

irreducibility test for multinomials over a finite field

Order of an orbit of Frobenius action on a algebraically closed field of characteristic p

Find normal basis of the field $GF(3^6)$ and find the normal matrix

How to prove $t(x)-x\in F_{p}$ when $p(x) \in K$, $K$ a field whose characteristic is $p>0$

Minimum cardinality module for a fixed finite ring

Is $\mathbb{F}_{81}$ a field extension of $\mathbb{F}_{27}$?

Is the field $\mathbb{F}_{64}$ the splitting field of $x^8-x$ over $\mathbb{F}_4$?

Roots of the equation $x^2+1=0$ in $\Bbb Z/p^{n}\Bbb Z$

The Cardinality of a subset of field of 8 elements

Isomorphism between two polynomial quotient fields

Homotopy continuations for solving systems of equations over a finite field

Cardinality of a finite field is $p^{n}$

Generalised Gauss sums

The degree of the field extension $\mathbb{Q}(\sqrt{5},w): \mathbb{Q}$

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