Question

Let $C_i=\{i\cdot q^j \pmod{q^m-1}\, ||\, j=0,1,\cdots ,m-1\}$. If $\gcd(i,q^m-1)=1$, then $|C_i|=n$.

score 19 · Answer 1 · 2026-04-17 02:04:37

19

Views

Let $C_i=\{i\cdot q^j \pmod{q^m-1}\, ||\, j=0,1,\cdots ,m-1\}$. If $\gcd(i,q^m-1)=1$, then $|C_i|=n$.

Published on 17 Apr 2026 - 2:04

score 506 · Answer 2 · 2026-04-17 15:09:42

506

Views

Fibonacci-like sequences mod $p$ where $a_{n+1}$ only really depends on $a_n$.

Published on 17 Apr 2026 - 15:09

score 215 · Answer 3 · 2026-04-13 00:09:06

215

Views

Spivak's Calculus Chapter 28-1 (Fields)

Published on 13 Apr 2026 - 0:09

score 76 · Answer 4 · 2026-04-10 19:48:59

76

Views

Proof about the characteristic of a field

Published on 10 Apr 2026 - 19:48

score 74 · Answer 5 · 2026-04-11 13:03:50

74

Views

What is dimension of $Z(R)$ as a $k$ vector space?

Published on 11 Apr 2026 - 13:03

score 506 · Answer 6 · 2026-04-16 17:35:26

506

Views

To find the number of Elements of order 4 in Galois Field $GF(p^n)^*$,

Published on 16 Apr 2026 - 17:35

score 142 · Answer 7 · 2026-04-14 09:34:18

142

Views

Finding exactly n vectors that xor (sum in GF(2)) to x

Published on 14 Apr 2026 - 9:34

score 71 · Answer 8 · 2026-04-16 21:14:21

71

Views

Find the multiplicative inverse of $x^4+x^3+1$ in $\mathbb{Z}_2[x]/\langle x^5+x^2+1 \rangle$

Published on 16 Apr 2026 - 21:14

score 298 · Answer 9 · 2026-04-12 21:57:26

298

Views

Difference between real and complex vector spaces.

Published on 12 Apr 2026 - 21:57

score 72 · Answer 10 · 2026-04-16 06:37:43

72

Views

$x^4 + 2(1-a)x^2+ (1+a)^2$ is reducible over $\mathbb{Z}_p$.

Published on 16 Apr 2026 - 6:37

score 99 · Answer 11 · 2026-04-15 05:32:10

99

Views

Known table of $GF(p)$ and characteristics

Published on 15 Apr 2026 - 5:32

score 152 · Answer 12 · 2026-04-15 03:02:35

152

Views

Relation between characterstic and cardinality of a field

Published on 15 Apr 2026 - 3:02

score 43 · Answer 13 · 2026-04-09 07:11:29

43

Views

Thue equation in function fields over finite field.

Published on 09 Apr 2026 - 7:11

score 74 · Answer 14 · 2026-04-16 18:43:19

74

Views

Closure of $\langle\sigma\rangle$ in $\text{Gal}(\bar{\mathbb F}_q / \mathbb F_q)$

Published on 16 Apr 2026 - 18:43

score 81 · Answer 15 · 2026-04-15 01:23:05

81

Views

Find minimal polynomial of root squared

Published on 15 Apr 2026 - 1:23

List Question

Let $C_i=\{i\cdot q^j \pmod{q^m-1}\, ||\, j=0,1,\cdots ,m-1\}$. If $\gcd(i,q^m-1)=1$, then $|C_i|=n$.

Fibonacci-like sequences mod $p$ where $a_{n+1}$ only really depends on $a_n$.

Spivak's Calculus Chapter 28-1 (Fields)

Proof about the characteristic of a field

What is dimension of $Z(R)$ as a $k$ vector space?

To find the number of Elements of order 4 in Galois Field $GF(p^n)^*$,

Finding exactly n vectors that xor (sum in GF(2)) to x

Find the multiplicative inverse of $x^4+x^3+1$ in $\mathbb{Z}_2[x]/\langle x^5+x^2+1 \rangle$

Difference between real and complex vector spaces.

$x^4 + 2(1-a)x^2+ (1+a)^2$ is reducible over $\mathbb{Z}_p$.

Known table of $GF(p)$ and characteristics

Relation between characterstic and cardinality of a field

Thue equation in function fields over finite field.

Closure of $\langle\sigma\rangle$ in $\text{Gal}(\bar{\mathbb F}_q / \mathbb F_q)$

Find minimal polynomial of root squared

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