List questions from finite-fields

Published on 06 Feb 2018 - 1:25

245

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Structure of the multiplicative group of a finite field

Published on 25 Mar 2026 - 3:04

1.5k

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Algebraic Field Extension of Finite Field

Published on 25 Mar 2026 - 1:17

60

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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 17 Mar 2026 - 15:43

111

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Spesicif Isomorphism between Finite Field Extension

Published on 07 Feb 2018 - 8:35

362

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Prove that a set is a subfield

Published on 07 Feb 2018 - 17:11

67

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Order of $\mathbb F_q^n$?

Published on 08 Feb 2018 - 22:32

1.3k

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Splitting field for $x^6-4$

Published on 09 Feb 2018 - 1:41

54

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

Published on 09 Feb 2018 - 13:48

346

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

Published on 24 Mar 2026 - 19:08

91

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Matrix diagonalizable and eigenvalues

Published on 09 Feb 2018 - 21:18

65

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Clarification on a problem found in Lang's algebra

Published on 12 Feb 2018 - 20:58

72

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Question about The Quadratic Reciprocity Law Proof

Published on 13 Feb 2018 - 21:49

121

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

Published on 13 Feb 2018 - 23:21

794

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Constructing a finite field of order 343.

Published on 25 Mar 2026 - 0:01

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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