Question

Showing the Lemma $s(p-1)-(p-1)d \leq d(σ(k_1)+...+σ(k_m)-(p-1))$

score 19 · Answer 1 · 2018-10-17 01:07:57

19

Views

Showing the Lemma $s(p-1)-(p-1)d \leq d(σ(k_1)+...+σ(k_m)-(p-1))$

Published on 17 Oct 2018 - 1:07

score 1.4k · Answer 2 · 2018-10-17 01:52:30

1.4k

Views

Is every primitive element of a finite field of characteristic $2$, a generator of the multiplicative group?

Published on 17 Oct 2018 - 1:52

score 508 · Answer 3 · 2018-10-17 04:42:41

508

Views

Generators/primitive roots/primitive elements of Prime fields

Published on 17 Oct 2018 - 4:42

score 95 · Answer 4 · 2026-03-25 13:54:42

95

Views

Extended GCD of two zero polynomials over finite field

Published on 25 Mar 2026 - 13:54

score 107 · Answer 5 · 2026-03-27 01:12:58

107

Views

Do solutions over $\mathbb{F}_{p^n}$ tell me anything about solutions over $\mathbb{Q}_p$?

Published on 27 Mar 2026 - 1:12

score 167 · Answer 6 · 2018-10-18 06:48:57

167

Views

quadratic character sum over a subfield

Published on 18 Oct 2018 - 6:48

score 555 · Answer 7 · 2018-10-18 20:42:58

555

Views

does the determinant of a square matrix over field/commutative ring have the same Leibniz formula?

Published on 18 Oct 2018 - 20:42

score 305 · Answer 8 · 2026-03-27 07:14:30

305

Views

Determining if an integer is a square in a finite field

Published on 27 Mar 2026 - 7:14

score 329 · Answer 9 · 2018-10-22 03:23:59

329

Views

Nicer proof that $2^{n+2}$ divides $3^m-1$ if and only if $2^{n}$ divides $m$

Published on 22 Oct 2018 - 3:23

score 153 · Answer 10 · 2018-10-23 14:29:34

153

Views

Existence of certain autormorphism in Normal extensions

Published on 23 Oct 2018 - 14:29

score 195 · Answer 11 · 2026-03-23 07:22:05

195

Views

If an $\mathbb{F}_p$-point is smooth, then it has Hensel lift

Published on 23 Mar 2026 - 7:22

score 105 · Answer 12 · 2026-03-23 12:17:15

105

Views

Show that $\Bbb Z_p[i]$ is isomorphic to $\Bbb Z_p[x]/\langle x^2+1\rangle$.

Published on 23 Mar 2026 - 12:17

score 121 · Answer 13 · 2026-03-25 20:42:29

121

Views

What is the smallest positive integer $n$ such that $(a+1)^{7^n} = (a+1)$?

Published on 25 Mar 2026 - 20:42

score 610 · Answer 14 · 2026-03-25 01:20:37

610

Views

If isogenous elliptic curves have equal numbers of points, how can isogenies have non-trivial kernels?

Published on 25 Mar 2026 - 1:20

score 297 · Answer 15 · 2026-03-25 23:36:59

297

Views

What is a charecteristic polynomial of Gold code?

Published on 25 Mar 2026 - 23:36

List Question

Showing the Lemma $s(p-1)-(p-1)d \leq d(σ(k_1)+...+σ(k_m)-(p-1))$

Is every primitive element of a finite field of characteristic $2$, a generator of the multiplicative group?

Generators/primitive roots/primitive elements of Prime fields

Extended GCD of two zero polynomials over finite field

Do solutions over $\mathbb{F}_{p^n}$ tell me anything about solutions over $\mathbb{Q}_p$?

quadratic character sum over a subfield

does the determinant of a square matrix over field/commutative ring have the same Leibniz formula?

Determining if an integer is a square in a finite field

Nicer proof that $2^{n+2}$ divides $3^m-1$ if and only if $2^{n}$ divides $m$

Existence of certain autormorphism in Normal extensions

If an $\mathbb{F}_p$-point is smooth, then it has Hensel lift

Show that $\Bbb Z_p[i]$ is isomorphic to $\Bbb Z_p[x]/\langle x^2+1\rangle$.

What is the smallest positive integer $n$ such that $(a+1)^{7^n} = (a+1)$?

If isogenous elliptic curves have equal numbers of points, how can isogenies have non-trivial kernels?

What is a charecteristic polynomial of Gold code?

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