List questions from finite-fields

Published on 27 Mar 2026 - 14:28

125

Views

Calculate multiplicative inverse of $95$ in group of order $n=101$ which is subgroup of $(\mathbb{F}_{607}^*,\cdot)$

Published on 02 Apr 2026 - 6:10

146

Views

Group $G$ cyclic as it coincides with the multiplicative group of a finite field

Published on 30 Mar 2026 - 12:58

323

Views

How to make check matrix H when you have generator matrix (algorithm)

Published on 16 Jul 2016 - 16:47

453

Views

generalization of positive-definite matrices to matrices over finite fields

Published on 26 Mar 2026 - 12:40

62

Views

Probability that an arbitrary element of a field has a specific structure.

Published on 25 Mar 2026 - 12:48

379

Views

Common generator of units in finite prime fields

Published on 30 Mar 2026 - 13:05

307

Views

Extension of a finite field to a finite non commutative ring

Published on 23 Feb 2026 - 8:41

166

Views

Proving an extension is galois and describe its automorphisms

Published on 20 Jul 2016 - 10:59

579

Views

extending rational functions over finite fields

Published on 20 Jul 2016 - 12:33

226

Views

Polynomials in $\mathbb{F}_{q}[x]$ invariant under translation of $x$

Published on 25 Mar 2026 - 14:26

4.7k

Views

Field with $125$ elements

Published on 30 Mar 2026 - 16:50

214

Views

Order of $\mathrm{SL}(n,\mathbb{F}_p)$ (Constructive proof)

Published on 24 Jul 2016 - 9:05

1.6k

Views

Does there always exist an irreducible polynomial of degree $d$ over $\mathbb{Z}/p\mathbb{Z}$?

Published on 30 Mar 2026 - 16:53

37

Views

Number of classes $\pmod p$ represented by $b_1s^{n-1} + \dots + b_n$ where $ord_p(s) = n$

Published on 25 Jul 2016 - 19:10

List Question

Algebraic or Analytic Proof of a Polynomial Identity

Calculate multiplicative inverse of $95$ in group of order $n=101$ which is subgroup of $(\mathbb{F}_{607}^*,\cdot)$

Group $G$ cyclic as it coincides with the multiplicative group of a finite field

How to make check matrix H when you have generator matrix (algorithm)

generalization of positive-definite matrices to matrices over finite fields

Probability that an arbitrary element of a field has a specific structure.

Common generator of units in finite prime fields

Extension of a finite field to a finite non commutative ring

Proving an extension is galois and describe its automorphisms

extending rational functions over finite fields

Polynomials in $\mathbb{F}_{q}[x]$ invariant under translation of $x$

Field with $125$ elements

Order of $\mathrm{SL}(n,\mathbb{F}_p)$ (Constructive proof)

Does there always exist an irreducible polynomial of degree $d$ over $\mathbb{Z}/p\mathbb{Z}$?

Number of classes $\pmod p$ represented by $b_1s^{n-1} + \dots + b_n$ where $ord_p(s) = n$

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