Question

Prove that $\mathbb F_8=\mathbb F_2[X]/(X^3+X+1)$

score 833 · Answer 1 · 2026-05-04 02:12:45

833

Views

Prove that $\mathbb F_8=\mathbb F_2[X]/(X^3+X+1)$

Published on 04 May 2026 - 2:12

score 856 · Answer 2 · 2026-04-29 12:05:54

856

Views

Period of a binary sequence

Published on 29 Apr 2026 - 12:05

score 54 · Answer 3 · 2026-04-17 01:14:11

54

Views

Order of $x$ in $\mathbb F_q[x]/(g(x))$

Published on 17 Apr 2026 - 1:14

score 96 · Answer 4 · 2026-04-16 08:44:17

96

Views

Prove that this quadratically closed extension of $\mathbb{F}_2$ remains quadratically closed after considering cubic extensions

Published on 16 Apr 2026 - 8:44

score 88 · Answer 5 · 2026-04-15 09:01:24

88

Views

What is the dimension of $\mathbb{R}^2$ over $\mathbb{F}_3$?

Published on 15 Apr 2026 - 9:01

score 41 · Answer 6 · 2026-04-16 10:31:25

41

Views

How to show that there are no roots of $x^{q+1}+1$ in a finite field of size $q$

Published on 16 Apr 2026 - 10:31

score 1.6k · Answer 7 · 2026-04-15 15:42:29

1.6k

Views

Factorization of $x^7 - 1$ into irreducible polynomials over $\Bbb{F_2}[x]$

Published on 15 Apr 2026 - 15:42

score 57 · Answer 8 · 2026-04-16 08:06:01

57

Views

show that every irreducible polynomial on $\mathbb{F}_q[x] $ is separable

Published on 16 Apr 2026 - 8:06

score 39 · Answer 9 · 2026-04-17 03:55:14

39

Views

Show that as roots of an irreducible polynomial in $ \mathbb{F}_q $ are $a,a^q \ldots a^{q^{n-1}}$

Published on 17 Apr 2026 - 3:55

score 70 · Answer 10 · 2026-04-14 21:19:06

70

Views

A sufficient condition for $x^p-x-a$ to be primitive

Published on 14 Apr 2026 - 21:19

score 201 · Answer 11 · 2026-04-12 19:54:45

201

Views

Minimal polynomial of a linear mapping which is semilinear over some extension field

Published on 12 Apr 2026 - 19:54

score 116 · Answer 12 · 2026-04-15 08:41:27

116

Views

Count the number of skew orthogonal matrices over a prime field

Published on 15 Apr 2026 - 8:41

score 1.8k · Answer 13 · 2026-04-14 14:13:05

1.8k

Views

Dimension of vector space generated by finite field over its subfield

Published on 14 Apr 2026 - 14:13

score 461 · Answer 14 · 2026-04-29 12:48:31

461

Views

For prime $p$, normal subgroups of $SL(2, \mathbb Z/p\mathbb Z)$ remains normal in $GL(2, \mathbb Z/p\mathbb Z)$?

Published on 29 Apr 2026 - 12:48

score 91 · Answer 15 · 2026-05-10 11:18:06

91

Views

Additive inverses

Published on 10 May 2026 - 11:18

List Question

Prove that $\mathbb F_8=\mathbb F_2[X]/(X^3+X+1)$

Period of a binary sequence

Order of $x$ in $\mathbb F_q[x]/(g(x))$

Prove that this quadratically closed extension of $\mathbb{F}_2$ remains quadratically closed after considering cubic extensions

What is the dimension of $\mathbb{R}^2$ over $\mathbb{F}_3$?

How to show that there are no roots of $x^{q+1}+1$ in a finite field of size $q$

Factorization of $x^7 - 1$ into irreducible polynomials over $\Bbb{F_2}[x]$

show that every irreducible polynomial on $\mathbb{F}_q[x] $ is separable

Show that as roots of an irreducible polynomial in $ \mathbb{F}_q $ are $a,a^q \ldots a^{q^{n-1}}$

A sufficient condition for $x^p-x-a$ to be primitive

Minimal polynomial of a linear mapping which is semilinear over some extension field

Count the number of skew orthogonal matrices over a prime field

Dimension of vector space generated by finite field over its subfield

For prime $p$, normal subgroups of $SL(2, \mathbb Z/p\mathbb Z)$ remains normal in $GL(2, \mathbb Z/p\mathbb Z)$?

Additive inverses

Trending Questions

Popular # Hahtags

Popular Questions