List questions from finite-fields

Published on 19 Jan 2015 - 21:26

71

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Calculating Ranks

Published on 20 Jan 2015 - 5:01

87

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Rank notion of a matrix

Published on 27 Mar 2026 - 2:39

474

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proof factoring of $x^n-1$

Published on 06 Apr 2026 - 2:53

154

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Question about galois imaginary and modular arithmetic

Published on 22 Jan 2015 - 12:23

463

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How do I show that the polynomial $f(x) = x^2 + x + 3$ $∈$ $Z_7[x]$ is a primitive polynomial?

Published on 22 Jan 2015 - 21:58

429

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Covering of a vector space over a finite field

Published on 24 Jan 2015 - 12:44

122

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Question about polynomials in finite fields

Published on 25 Jan 2015 - 1:43

171

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How to show the isomorphism

Published on 27 Jan 2015 - 3:07

549

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Every element of field $F_q$ has $k$th root if and only if $\gcd(q-1,k)=1$

Published on 27 Jan 2015 - 19:38

105

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Intermediate field extension

Published on 28 Jan 2015 - 11:45

73

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a root of some polynomial over finite field

Published on 28 Jan 2015 - 16:22

50

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$x^2+3$ has two zeros over ${\Bbb F}_p$ provided that $x^2+x+1\in{\Bbb F}_p[x]$ has two?

Published on 28 Mar 2026 - 0:49

50

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Why is $\sqrt{5}$ an element of every field of order $p^{2 e}$?

Published on 28 Jan 2015 - 18:33

104

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Counting the number of $\mathbb{F}_q$ points on a homogeneous polynomial

Published on 29 Jan 2015 - 2:35

List Question

What is $\{ f \in F_{p^m}[x_1, \ldots, x_n] : f(a) = 0, \forall a \in A^n\}$?

Calculating Ranks

Rank notion of a matrix

proof factoring of $x^n-1$

Question about galois imaginary and modular arithmetic

How do I show that the polynomial $f(x) = x^2 + x + 3$ $∈$ $Z_7[x]$ is a primitive polynomial?

Covering of a vector space over a finite field

Question about polynomials in finite fields

How to show the isomorphism

Every element of field $F_q$ has $k$th root if and only if $\gcd(q-1,k)=1$

Intermediate field extension

a root of some polynomial over finite field

$x^2+3$ has two zeros over ${\Bbb F}_p$ provided that $x^2+x+1\in{\Bbb F}_p[x]$ has two?

Why is $\sqrt{5}$ an element of every field of order $p^{2 e}$?

Counting the number of $\mathbb{F}_q$ points on a homogeneous polynomial

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