List questions from finite-fields

Published on 11 Dec 2018 - 15:48

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Finding minimum weight codewords in a Code over F9.

Published on 26 Mar 2026 - 0:58

214

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Probability of linear independency of vectors under finite field

Published on 12 Dec 2018 - 15:40

319

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Calculations on $GF(16)$ find $0111/1111$

Published on 13 Dec 2018 - 11:32

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specific examples of algebraic closure on finite field

Published on 13 Dec 2018 - 17:50

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Can we find all the irreducible polynomials of $F_2[x]$?

Published on 26 Mar 2026 - 7:35

162

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Find irreducible binary polynomial of degree 5

Published on 14 Dec 2018 - 10:50

60

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Is it true that he polynomial $\frac{x^p- 1}{x-1}$ ($p$ is prime) is irreducible in $\mathbb{F}_2[x]$ iff $p$ is prime?

Published on 26 Mar 2026 - 7:35

80

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Quotient $\mathbf{F}_3[X]/(X^5+1)$

Published on 26 Mar 2026 - 7:33

149

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Showing Two Polynomials Have Isomorphic Splitting Fields over $\mathbb{F}_p$

Published on 25 Mar 2026 - 17:52

179

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When is $x^{2^n} + 1$ Reducible in $\mathbf{F}_p$ For All Primes $p$

Published on 25 Mar 2026 - 19:25

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Galois field inverse

Published on 16 Dec 2018 - 12:01

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Prove: $|\{(x,y)\in \Bbb F_q^2 : y^2 = Q(x) \}|=q-1$ in a finite field

Published on 17 Dec 2018 - 12:57

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Isomorphism between two versions of $GF(2^3)$

Published on 25 Mar 2026 - 1:23

154

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Book for representation and character theory.

Published on 19 Dec 2018 - 15:04

List Question

Question regarding algebraic closure of$ \mathbb{F_2}$

Finding minimum weight codewords in a Code over F9.

Probability of linear independency of vectors under finite field

Calculations on $GF(16)$ find $0111/1111$

specific examples of algebraic closure on finite field

Can we find all the irreducible polynomials of $F_2[x]$?

Find irreducible binary polynomial of degree 5

Is it true that he polynomial $\frac{x^p- 1}{x-1}$ ($p$ is prime) is irreducible in $\mathbb{F}_2[x]$ iff $p$ is prime?

Quotient $\mathbf{F}_3[X]/(X^5+1)$

Showing Two Polynomials Have Isomorphic Splitting Fields over $\mathbb{F}_p$

When is $x^{2^n} + 1$ Reducible in $\mathbf{F}_p$ For All Primes $p$

Galois field inverse

Prove: $|\{(x,y)\in \Bbb F_q^2 : y^2 = Q(x) \}|=q-1$ in a finite field

Isomorphism between two versions of $GF(2^3)$

Book for representation and character theory.

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