Question

Algorithm to find all fields of orders $p^n$ for fixed $n$ and all primes $p$ simultaneously?

score 68 · Answer 1 · 2026-04-15 21:59:39

68

Views

Algorithm to find all fields of orders $p^n$ for fixed $n$ and all primes $p$ simultaneously?

Published on 15 Apr 2026 - 21:59

score 37 · Answer 2 · 2026-04-19 02:01:41

37

Views

For which primes $p$ does the 3rd cyclatomic polynomial $x^2+x+1$ factor over $\mathbb{F_p[x]}$?

Published on 19 Apr 2026 - 2:01

score 341 · Answer 3 · 2026-04-13 22:55:44

341

Views

How to factor $x^5-1$ for binary codes

Published on 13 Apr 2026 - 22:55

score 41 · Answer 4 · 2026-04-16 03:00:02

41

Views

Decoding [23,11,7] quadratic residual code

Published on 16 Apr 2026 - 3:00

score 207 · Answer 5 · 2026-04-10 17:59:49

207

Views

'Simple' proof of uniqueness of finite fields

Published on 10 Apr 2026 - 17:59

score 53 · Answer 6 · 2026-04-29 19:17:50

53

Views

Finding ordered pair of polynomial $(f(x),g(x))$ with coefficient $\mathbb{Z}_{p}$ for a prime number $p$

Published on 29 Apr 2026 - 19:17

score 115 · Answer 7 · 2026-04-25 00:11:05

115

Views

p-nilpotent matrices in characteristic p

Published on 25 Apr 2026 - 0:11

score 212 · Answer 8 · 2026-04-16 08:09:28

212

Views

How many primitive polynomials are there in $\mathbb{F}_p[x]$ where $p$ is prime?

Published on 16 Apr 2026 - 8:09

score 128 · Answer 9 · 2026-04-10 06:11:46

128

Views

How can I define orthogonality in $GF(2)$?

Published on 10 Apr 2026 - 6:11

score 566 · Answer 10 · 2026-04-14 03:28:17

566

Views

How to find an irreducible polynomial of degree $p$ over finite field $F_p$ where $p$ is prime?

Published on 14 Apr 2026 - 3:28

score 64 · Answer 11 · 2026-04-16 06:24:02

64

Views

Isogeny, isomorphism and point correspondence between elliptic curve and its sextic twist

Published on 16 Apr 2026 - 6:24

score 1.4k · Answer 12 · 2026-04-15 17:14:35

1.4k

Views

Uniqueness of finite fields with $p^n$ elements.

Published on 15 Apr 2026 - 17:14

score 68 · Answer 13 · 2026-04-16 09:39:37

68

Views

How to calculate the Galois group $\text{Gal}(\overline{\mathbb F_q}/\mathbb F_q)$?

Published on 16 Apr 2026 - 9:39

score 51 · Answer 14 · 2026-04-17 00:23:07

51

Views

Number of factors of irreducible polynomial of degree $mn$ over $\mathbb{F}_p$ in $\mathbb{F}_{p^n}[x].$

Published on 17 Apr 2026 - 0:23

score 4k · Answer 15 · 2026-04-15 16:19:18

4k

Views

Algebraic closure of $\mathbb F_p$

Published on 15 Apr 2026 - 16:19

List Question

Algorithm to find all fields of orders $p^n$ for fixed $n$ and all primes $p$ simultaneously?

For which primes $p$ does the 3rd cyclatomic polynomial $x^2+x+1$ factor over $\mathbb{F_p[x]}$?

How to factor $x^5-1$ for binary codes

Decoding [23,11,7] quadratic residual code

'Simple' proof of uniqueness of finite fields

Finding ordered pair of polynomial $(f(x),g(x))$ with coefficient $\mathbb{Z}_{p}$ for a prime number $p$

p-nilpotent matrices in characteristic p

How many primitive polynomials are there in $\mathbb{F}_p[x]$ where $p$ is prime?

How can I define orthogonality in $GF(2)$?

How to find an irreducible polynomial of degree $p$ over finite field $F_p$ where $p$ is prime?

Isogeny, isomorphism and point correspondence between elliptic curve and its sextic twist

Uniqueness of finite fields with $p^n$ elements.

How to calculate the Galois group $\text{Gal}(\overline{\mathbb F_q}/\mathbb F_q)$?

Number of factors of irreducible polynomial of degree $mn$ over $\mathbb{F}_p$ in $\mathbb{F}_{p^n}[x].$

Algebraic closure of $\mathbb F_p$

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