Question

E: $y^2+y=x^3$ an elliptic curve over $F_{2}$. How to prove the number of $E(F_{2^n})$ = $2^n+1$ if n is odd, ....

score 190 · Answer 1 · 2026-04-16 09:36:09

190

Views

E: $y^2+y=x^3$ an elliptic curve over $F_{2}$. How to prove the number of $E(F_{2^n})$ = $2^n+1$ if n is odd, ....

Published on 16 Apr 2026 - 9:36

score 998 · Answer 2 · 2026-04-16 06:57:14

998

Views

Factoring $x^{16}-x$ over $\mathbb{F}_8$

Published on 16 Apr 2026 - 6:57

score 296 · Answer 3 · 2026-04-14 06:24:03

296

Views

Probability and Rank of Symmetric Matrix

Published on 14 Apr 2026 - 6:24

score 183 · Answer 4 · 2026-04-17 07:49:02

183

Views

Question about why $x^{p^n}-x+1$ is irreducible over $\mathbb{F}_p$.

Published on 17 Apr 2026 - 7:49

score 215 · Answer 5 · 2026-04-15 19:25:06

215

Views

Show that all irreducible polynomials divide $t^{p^d-1} -1$

Published on 15 Apr 2026 - 19:25

score 3.8k · Answer 6 · 2026-04-11 09:20:44

3.8k

Views

Eigenvalue problems for matrices over finite fields

Published on 11 Apr 2026 - 9:20

score 427 · Answer 7 · 2026-04-12 12:35:46

427

Views

Proving the roots of a polynomial are a subfield

Published on 12 Apr 2026 - 12:35

score 638 · Answer 8 · 2026-04-08 23:52:02

638

Views

Properties of a sum over the root-of-unity expression of polynomials over a finite field

Published on 08 Apr 2026 - 23:52

score 203 · Answer 9 · 2026-04-12 09:06:30

203

Views

Who invented the standard construction of finite fields (and field extensions)?

Published on 12 Apr 2026 - 9:06

score 90 · Answer 10 · 2026-04-15 19:17:29

90

Views

Cyclic Codes over $GF(q)$

Published on 15 Apr 2026 - 19:17

score 1.6k · Answer 11 · 2026-04-18 08:08:58

1.6k

Views

$x^p-x \equiv x(x-1)(x-2)\cdots (x-(p-1))\,\pmod{\!p}$

Published on 18 Apr 2026 - 8:08

score 122 · Answer 12 · 2026-04-10 01:30:37

122

Views

Kernel and image of map on unit group of finite field

Published on 10 Apr 2026 - 1:30

score 462 · Answer 13 · 2026-04-10 05:39:26

462

Views

How to get the irreducible polynomial?

Published on 10 Apr 2026 - 5:39

score 93 · Answer 14 · 2026-04-17 09:52:18

93

Views

$\exists a \in \mathbb{F}_{11}$ such that $\mathbb{F}_{11}[x]/\langle x^5-a\rangle$ is a field

Published on 17 Apr 2026 - 9:52

score 73 · Answer 15 · 2026-04-14 18:54:56

73

Views

Size of field extension is at most $p^d$

Published on 14 Apr 2026 - 18:54

List Question

E: $y^2+y=x^3$ an elliptic curve over $F_{2}$. How to prove the number of $E(F_{2^n})$ = $2^n+1$ if n is odd, ....

Factoring $x^{16}-x$ over $\mathbb{F}_8$

Probability and Rank of Symmetric Matrix

Question about why $x^{p^n}-x+1$ is irreducible over $\mathbb{F}_p$.

Show that all irreducible polynomials divide $t^{p^d-1} -1$

Eigenvalue problems for matrices over finite fields

Proving the roots of a polynomial are a subfield

Properties of a sum over the root-of-unity expression of polynomials over a finite field

Who invented the standard construction of finite fields (and field extensions)?

Cyclic Codes over $GF(q)$

$x^p-x \equiv x(x-1)(x-2)\cdots (x-(p-1))\,\pmod{\!p}$

Kernel and image of map on unit group of finite field

How to get the irreducible polynomial?

$\exists a \in \mathbb{F}_{11}$ such that $\mathbb{F}_{11}[x]/\langle x^5-a\rangle$ is a field

Size of field extension is at most $p^d$

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