List questions from finite-fields

Published on 28 Mar 2026 - 18:12

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Problems from finite fields theory

Published on 17 Oct 2016 - 8:45

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Factoring an irreducible polynomial over $\mathbb{F}_q$ in $\mathbb{F}_{q^k}$

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322

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Reducibility of a polynomial over $\mathbb{Z}_p$

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65

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Structure of the multiplication operation in finite fields.

Published on 19 Oct 2016 - 15:50

34

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Degree in Finite Extensions of $\mathbb{F}_q(X)$

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49

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Find polynomials such that $uA+vB=R$

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to show a special polynomial is not a square of another polynomial

Published on 21 Oct 2016 - 22:06

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are the integers modulo 4 a field?

Published on 23 Oct 2016 - 12:52

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Roots of a finite field and closure of a finite field

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315

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Are ultraproducts of finite fields algebraic over their prime field?

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There are $10$ commutative rings of order $8$

Published on 26 Oct 2016 - 12:47

508

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In a finite field $x^2 = a$ has at most two roots.

Published on 26 Oct 2016 - 17:19

47

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What is the relationship between non-repeated factors of the order of a group and its cyclicity?

Published on 01 Apr 2026 - 2:05

346

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At most of degree 4 irreducible polynomials over $\mathbb{Z}_3$

Published on 02 Apr 2026 - 12:25

List Question

Finding Explicit isomorphism

Problems from finite fields theory

Factoring an irreducible polynomial over $\mathbb{F}_q$ in $\mathbb{F}_{q^k}$

Reducibility of a polynomial over $\mathbb{Z}_p$

Structure of the multiplication operation in finite fields.

Degree in Finite Extensions of $\mathbb{F}_q(X)$

Find polynomials such that $uA+vB=R$

to show a special polynomial is not a square of another polynomial

are the integers modulo 4 a field?

Roots of a finite field and closure of a finite field

Are ultraproducts of finite fields algebraic over their prime field?

There are $10$ commutative rings of order $8$

In a finite field $x^2 = a$ has at most two roots.

What is the relationship between non-repeated factors of the order of a group and its cyclicity?

At most of degree 4 irreducible polynomials over $\mathbb{Z}_3$

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