List questions from finite-fields

Published on 28 Mar 2026 - 14:53

118

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Find the number of square matrices A of size n over the field $\mathbb F_p$ of $p$ elements such that $A^p = A$.

Published on 06 Jul 2016 - 1:50

492

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Finite Field Question: Which of the followings are true?

Published on 06 Jul 2016 - 4:40

255

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Irreducible polynomials over $\mathbb{Z}_2[x]$

Published on 30 Mar 2026 - 15:11

145

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Adjoin complex numbers to an arbitrary field?

Published on 07 Jul 2016 - 5:55

294

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Generalizing Dirichlet characters

Published on 26 Mar 2026 - 12:04

102

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On Schoof's proof of deterministically finding $\sqrt{x} \bmod p$ when $p \neq 1 \bmod 16$

Published on 25 Mar 2026 - 1:20

2.2k

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Eigenvalues of matrices over finite fields

Published on 09 Jul 2016 - 12:20

506

Views

Irreducible polynomial in finite-fields

Published on 30 Mar 2026 - 16:52

408

Views

Field and ideal notation: double bracks/parens vs single brackets/parens

Published on 10 Jul 2016 - 22:52

451

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Is $x^5 + x^3 + 1$ irreducible in $\mathbb{F}_{32}$ and $\mathbb{F}_8$?

Published on 11 Jul 2016 - 0:59

291

Views

Solvability and reducibility of a polynomial in a "chain" of finite fields

Published on 30 Mar 2026 - 16:56

149

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the multiplication of a coset of an additive subgroup of a finite field

Published on 12 Jul 2016 - 9:57

717

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Distribution of sums of random variables over finite field

Published on 13 Jul 2016 - 8:54

115

Views

Is $x^{2\cdot 3^n}+x^{3^n}+1$ irreducible (mod 2)?

Published on 30 Mar 2026 - 16:53

List Question

Exponentiation and Other Operators with Ring Arithmetic

Find the number of square matrices A of size n over the field $\mathbb F_p$ of $p$ elements such that $A^p = A$.

Finite Field Question: Which of the followings are true?

Irreducible polynomials over $\mathbb{Z}_2[x]$

Adjoin complex numbers to an arbitrary field?

Generalizing Dirichlet characters

On Schoof's proof of deterministically finding $\sqrt{x} \bmod p$ when $p \neq 1 \bmod 16$

Eigenvalues of matrices over finite fields

Irreducible polynomial in finite-fields

Field and ideal notation: double bracks/parens vs single brackets/parens

Is $x^5 + x^3 + 1$ irreducible in $\mathbb{F}_{32}$ and $\mathbb{F}_8$?

Solvability and reducibility of a polynomial in a "chain" of finite fields

the multiplication of a coset of an additive subgroup of a finite field

Distribution of sums of random variables over finite field

Is $x^{2\cdot 3^n}+x^{3^n}+1$ irreducible (mod 2)?

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