List questions from finite-fields

Published on 27 Mar 2026 - 12:34

139

Views

Construct a cubic polynomial that is irreducible over $\mathbb{Z}_{5}$

Published on 11 Apr 2026 - 23:39

1.8k

Views

Let $F$ be a field with four elements $F = \{0,1,a,b\}$. What is $a^2 + a$?

Published on 13 Apr 2026 - 21:47

386

Views

Sum of powers of a field's element equals zero

Published on 13 Apr 2026 - 11:31

1.5k

Views

Why is a finite field finite dimensional over $\mathbb F_p$?

Published on 18 Apr 2026 - 23:24

62

Views

can someone help me make sense of this solution? (finite fields)

Published on 12 Apr 2026 - 20:12

83

Views

confirm solution to equation in finite field

Published on 09 Apr 2026 - 5:20

55

Views

For a field of order $2^n$ to contain a field of order $2^m$

Published on 15 Apr 2026 - 19:05

62

Views

Irreducible polynom over a finite field

Published on 13 Apr 2026 - 18:16

285

Views

determining decimation ratio given characteristic polynomials of quotient rings $GF(2^n)$

Published on 09 Apr 2026 - 4:32

225

Views

Reducing monomials in polynomial rings over finite field using fermat's little theorem using maple.

Published on 29 Mar 2026 - 6:30

116

Views

Counting points of intersections of linear and quadratic projective varieties over finite fields

Published on 11 Apr 2026 - 4:59

289

Views

Symplectic form and quadratic form

Published on 11 Apr 2026 - 22:04

92

Views

Let $p$ be prime and $S = \{(x, y)\in \mathbb{F}_p^2 : y^2 = x^3 - x + 1\}$. Prove that $\mathrm{Card}(S) \leq 2p$.

Published on 17 Apr 2026 - 7:29

6.7k

Views

When is the Frobenius endomorphism an automorphism?

Published on 12 Apr 2026 - 16:12

List Question

Constructing Quartic number fields

Construct a cubic polynomial that is irreducible over $\mathbb{Z}_{5}$

Let $F$ be a field with four elements $F = \{0,1,a,b\}$. What is $a^2 + a$?

Sum of powers of a field's element equals zero

Why is a finite field finite dimensional over $\mathbb F_p$?

can someone help me make sense of this solution? (finite fields)

confirm solution to equation in finite field

For a field of order $2^n$ to contain a field of order $2^m$

Irreducible polynom over a finite field

determining decimation ratio given characteristic polynomials of quotient rings $GF(2^n)$

Reducing monomials in polynomial rings over finite field using fermat's little theorem using maple.

Counting points of intersections of linear and quadratic projective varieties over finite fields

Symplectic form and quadratic form

Let $p$ be prime and $S = \{(x, y)\in \mathbb{F}_p^2 : y^2 = x^3 - x + 1\}$. Prove that $\mathrm{Card}(S) \leq 2p$.

When is the Frobenius endomorphism an automorphism?

Trending Questions

Popular # Hahtags

Popular Questions