List questions from finite-fields

Published on 14 Apr 2026 - 18:44

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Structure of the multiplicative group of a finite field

Published on 14 Apr 2026 - 8:42

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Algebraic Field Extension of Finite Field

Published on 13 Apr 2026 - 16:45

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Let $ f $ be an irreducible polynomial in $ \mathbb{F }_q [x] $, why $ f ^\frac{s}{deg (f)} $ has degree term $ s-1 $?

Published on 05 May 2026 - 6:50

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Spesicif Isomorphism between Finite Field Extension

Published on 13 Apr 2026 - 7:46

366

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Prove that a set is a subfield

Published on 13 Apr 2026 - 2:22

72

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Order of $\mathbb F_q^n$?

Published on 16 Apr 2026 - 11:41

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Splitting field for $x^6-4$

Published on 15 Apr 2026 - 5:19

57

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How do I guarantee the existence of a quadratic non-residue in $\mathbb{F}_p$

Published on 13 Apr 2026 - 23:43

350

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When finding the minimal polynomials in GF(16), Why the 4th conjugate of α³ becomes α^9?

Published on 10 May 2026 - 12:34

96

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Matrix diagonalizable and eigenvalues

Published on 14 Apr 2026 - 8:23

68

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Clarification on a problem found in Lang's algebra

Published on 14 Apr 2026 - 19:03

75

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Question about The Quadratic Reciprocity Law Proof

Published on 15 Apr 2026 - 11:55

124

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Do elements of a finite field extension of degree 2 with norm 1 form a group?

Published on 14 Apr 2026 - 2:04

796

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Constructing a finite field of order 343.

Published on 15 Apr 2026 - 13:46

List Question

Number of solutions with Hamming weight $w$ in an random undetermined linear system

Structure of the multiplicative group of a finite field

Algebraic Field Extension of Finite Field

Let $ f $ be an irreducible polynomial in $ \mathbb{F }_q [x] $, why $ f ^\frac{s}{deg (f)} $ has degree term $ s-1 $?

Spesicif Isomorphism between Finite Field Extension

Prove that a set is a subfield

Order of $\mathbb F_q^n$?

Splitting field for $x^6-4$

How do I guarantee the existence of a quadratic non-residue in $\mathbb{F}_p$

When finding the minimal polynomials in GF(16), Why the 4th conjugate of α³ becomes α^9?

Matrix diagonalizable and eigenvalues

Clarification on a problem found in Lang's algebra

Question about The Quadratic Reciprocity Law Proof

Do elements of a finite field extension of degree 2 with norm 1 form a group?

Constructing a finite field of order 343.

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