List questions from finite-fields

Published on 16 Apr 2026 - 10:16

60

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Argument and motivation behind maps used in finding inrreducibles in an integral domain

Published on 12 Apr 2026 - 22:20

388

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What's the difference between $E(K)$ and $E/K$ in elliptic curves?

Published on 09 Apr 2026 - 3:28

92

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Finite extension fields of odd degree over $F_{2}$

Published on 13 Apr 2026 - 20:14

489

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finite field and relationship between subfield and subgroup

Published on 15 Apr 2026 - 12:26

1.5k

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Show that $\mathbb{Z}_3\left [ x \right ]/\left \langle x^{2}+x+1 \right \rangle$ is not a field

Published on 17 Apr 2026 - 22:31

83

Views

Number of irreducible divisors of $x^{p^q}-x\in \mathbb{F}_p$

Published on 17 Apr 2026 - 15:52

742

Views

Linear independence of Galois conjugates

Published on 15 Apr 2026 - 8:55

134

Views

How does a low hamming weight prime inflict the Miller algorithm?

Published on 09 Apr 2026 - 6:08

55

Views

Elements of a field when $p(x)$ = $x^2$ + $x$ + $2$ is irreducible in $Z_3[x]$.

Published on 15 Apr 2026 - 23:05

1.2k

Views

Calculating the number of irreducible polynomials over a finite field

Published on 14 Apr 2026 - 2:30

238

Views

QR algorithm convergence for fields other than R and C

Published on 25 Mar 2026 - 17:36

650

Views

Factor ring with zero-divisors

Published on 11 Apr 2026 - 12:02

414

Views

A splitting field over $\Bbb{F_{5}}$

Published on 13 Apr 2026 - 14:28

610

Views

Roots of the minimal polynomial of $\alpha$ are from the orbit of $\alpha$

Published on 16 Apr 2026 - 22:50

List Question

Line intersection with parallel hyperplanes in $\mathbb{F}_q^n$

Argument and motivation behind maps used in finding inrreducibles in an integral domain

What's the difference between $E(K)$ and $E/K$ in elliptic curves?

Finite extension fields of odd degree over $F_{2}$

finite field and relationship between subfield and subgroup

Show that $\mathbb{Z}_3\left [ x \right ]/\left \langle x^{2}+x+1 \right \rangle$ is not a field

Number of irreducible divisors of $x^{p^q}-x\in \mathbb{F}_p$

Linear independence of Galois conjugates

How does a low hamming weight prime inflict the Miller algorithm?

Elements of a field when $p(x)$ = $x^2$ + $x$ + $2$ is irreducible in $Z_3[x]$.

Calculating the number of irreducible polynomials over a finite field

QR algorithm convergence for fields other than R and C

Factor ring with zero-divisors

A splitting field over $\Bbb{F_{5}}$

Roots of the minimal polynomial of $\alpha$ are from the orbit of $\alpha$

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