Question

Orders of all the elements in polynomial quotient ring

score 206 · Answer 1 · 2026-03-25 21:47:55

206

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Orders of all the elements in polynomial quotient ring

Published on 25 Mar 2026 - 21:47

score 48 · Answer 2 · 2026-03-29 11:07:56

48

Views

Characterization of an irreducible polynomial mod p

Published on 29 Mar 2026 - 11:07

score 292 · Answer 3 · 2026-03-29 09:09:37

292

Views

Determining the distance of linear code using parity-check matrix

Published on 29 Mar 2026 - 9:09

score 77 · Answer 4 · 2026-03-27 11:47:52

77

Views

Classifying commutative $\mathbb{F}_2$-algebras of dimension 5 with a specific property

Published on 27 Mar 2026 - 11:47

score 193 · Answer 5 · 2023-03-30 17:47:26

193

Views

Number of ring homomorphisms from a finite field to its finite extension

Published on 30 Mar 2023 - 17:47

score 134 · Answer 6 · 2023-04-04 01:25:02

134

Views

Polynomials that are zero as functions on finite fields

Published on 04 Apr 2023 - 1:25

score 57 · Answer 7 · 2026-03-27 17:36:22

57

Views

Hilbert 90 for cyclic Galois ring extension

Published on 27 Mar 2026 - 17:36

score 76 · Answer 8 · 2023-04-05 09:32:08

76

Views

Waring's problem over finite fields

Published on 05 Apr 2023 - 9:32

score 98 · Answer 9 · 2023-04-05 16:38:10

98

Views

Number of roots of $f=x^5-x-1$ in $\mathbb{F}_4$

Published on 05 Apr 2023 - 16:38

score 206 · Answer 10 · 2023-04-06 13:52:03

206

Views

Why is $x^p - \alpha$ irreducible in $F[x]$?

Published on 06 Apr 2023 - 13:52

score 51 · Answer 11 · 2026-03-29 05:44:10

51

Views

Why does $K=\Bbb F_p[\theta_n]$ contains subfield of order $p^e$ with solutions to $X^{pe}-X=0$ over $K$ where $e$ is the exponent of $p\pmod n$?

Published on 29 Mar 2026 - 5:44

score 88 · Answer 12 · 2026-03-27 16:28:10

88

Views

Does $a\not\in( \Bbb{F}_q ^{\times})^2$ and $b\not\in( \Bbb{F}_q^{\times})^2$ imply $ab\in (\Bbb{F}_q^{\times})^2$?

Published on 27 Mar 2026 - 16:28

score 73 · Answer 13 · 2026-03-28 08:45:48

73

Views

Why is my equation not true on all elements?

Published on 28 Mar 2026 - 8:45

score 158 · Answer 14 · 2026-04-01 22:39:11

158

Views

How do I go from the characteristic polynomial of Frobenius on the reduction E~[p] to the characteristic polynomial of a Galois morphism on E[p]?

Published on 01 Apr 2026 - 22:39

score 259 · Answer 15 · 2026-04-03 08:01:21

259

Views

How to factor a polynomial quickly in $\mathbb{F}_5[x]$

Published on 03 Apr 2026 - 8:01

List Question

Orders of all the elements in polynomial quotient ring

Characterization of an irreducible polynomial mod p

Determining the distance of linear code using parity-check matrix

Classifying commutative $\mathbb{F}_2$-algebras of dimension 5 with a specific property

Number of ring homomorphisms from a finite field to its finite extension

Polynomials that are zero as functions on finite fields

Hilbert 90 for cyclic Galois ring extension

Waring's problem over finite fields

Number of roots of $f=x^5-x-1$ in $\mathbb{F}_4$

Why is $x^p - \alpha$ irreducible in $F[x]$?

Why does $K=\Bbb F_p[\theta_n]$ contains subfield of order $p^e$ with solutions to $X^{pe}-X=0$ over $K$ where $e$ is the exponent of $p\pmod n$?

Does $a\not\in( \Bbb{F}_q ^{\times})^2$ and $b\not\in( \Bbb{F}_q^{\times})^2$ imply $ab\in (\Bbb{F}_q^{\times})^2$?

Why is my equation not true on all elements?

How do I go from the characteristic polynomial of Frobenius on the reduction E~[p] to the characteristic polynomial of a Galois morphism on E[p]?

How to factor a polynomial quickly in $\mathbb{F}_5[x]$

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