List questions from finite-fields

Published on 28 Mar 2026 - 2:06

85

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Is $t^4 + 7$ irreducible over $\mathbb{Z}_{17}$?

Published on 11 Apr 2026 - 21:40

64

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Find all the elements that are fixed by $Frob_3$

Published on 02 Apr 2016 - 23:28

24

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Let $α$ be an element of $\mathbb F_q$ with largest order $t$ . Show that set of elements with order dividing $t$ should have cardinality $t$

Published on 03 Apr 2016 - 21:18

109

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Balanced incomplete Block design for testing an experiment

Published on 26 Mar 2026 - 4:55

1.5k

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Automorphism group of $F=\mathbb F_3[x]/(x^3+2x-1)$.

Published on 04 Apr 2016 - 7:27

203

Views

Number of solutions to $x^2-y^2=a$ over a finite field.

Published on 04 Apr 2016 - 11:42

327

Views

General Multiplication Algorithm for Finite Field of GF(p^m) for small values of p^m

Published on 06 Apr 2026 - 23:25

504

Views

I don't understand a step of the proof that a nonzero finite commutative ring with no zero divisors is a field.

Published on 05 Apr 2016 - 23:57

132

Views

Totien-Sum: why GCD( {n}/d, q/d) = 1; implies Sum{Totient(d/q) } = q

Published on 06 Apr 2016 - 4:31

179

Views

Show that $\mathrm{SO}_3(\mathbb{Q}_p) \simeq \mathrm{SL}_2(\mathbb{Q}_p) $

Published on 01 Apr 2026 - 18:54

131

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Does NTT have an upper bound?

Published on 11 Apr 2026 - 13:09

47

Views

Transforming a polynomial sum using a series expansion (BCH codes)

Published on 07 Apr 2016 - 10:21

88

Views

Proving that if the cardinality of a field $F$ is finite and equal to $q$, then the ring $F[X]/(X^n)$ is finite of cardinality $q^n$

Published on 07 Apr 2016 - 22:54

796

Views

Is $K^{n}$ Zariski Hausdorff when $K$ is a finite field?

Published on 10 Apr 2026 - 23:12

List Question

Singular CAS vs Macaulay2 for finite fields

Is $t^4 + 7$ irreducible over $\mathbb{Z}_{17}$?

Find all the elements that are fixed by $Frob_3$

Let $α$ be an element of $\mathbb F_q$ with largest order $t$ . Show that set of elements with order dividing $t$ should have cardinality $t$

Balanced incomplete Block design for testing an experiment

Automorphism group of $F=\mathbb F_3[x]/(x^3+2x-1)$.

Number of solutions to $x^2-y^2=a$ over a finite field.

General Multiplication Algorithm for Finite Field of GF(p^m) for small values of p^m

I don't understand a step of the proof that a nonzero finite commutative ring with no zero divisors is a field.

Totien-Sum: why GCD( {n}/d, q/d) = 1; implies Sum{Totient(d/q) } = q

Show that $\mathrm{SO}_3(\mathbb{Q}_p) \simeq \mathrm{SL}_2(\mathbb{Q}_p) $

Does NTT have an upper bound?

Transforming a polynomial sum using a series expansion (BCH codes)

Proving that if the cardinality of a field $F$ is finite and equal to $q$, then the ring $F[X]/(X^n)$ is finite of cardinality $q^n$

Is $K^{n}$ Zariski Hausdorff when $K$ is a finite field?

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