Question

Points with 0 $x$-coordinate in $r$-torsion and distortion map

score 125 · Answer 1 · 2026-03-26 19:18:37

125

Views

Points with 0 $x$-coordinate in $r$-torsion and distortion map

Published on 26 Mar 2026 - 19:18

score 815 · Answer 2 · 2026-03-30 01:33:14

815

Views

Find all primitive elements $e = aw+b$ in the field GF$(25)$ where $w^2 = 2$.

Published on 30 Mar 2026 - 1:33

score 412 · Answer 3 · 2026-04-13 20:46:48

412

Views

Only finitely many genus $g$ smooth projective curves over a finite field

Published on 13 Apr 2026 - 20:46

score 36 · Answer 4 · 2026-04-17 08:51:47

36

Views

Lines in $\mathbb{F}_3^n$

Published on 17 Apr 2026 - 8:51

score 48 · Answer 5 · 2026-04-17 12:23:02

48

Views

Find a Basis for the Vectors $W=\operatorname{span}\{v_1,v_2,v_3,v_4,v_5\} \subseteq\mathbb{F}_{2} ^{5}$

Published on 17 Apr 2026 - 12:23

score 121 · Answer 6 · 2026-04-09 05:03:57

121

Views

How to construct the isomorphism on GAP?

Published on 09 Apr 2026 - 5:03

score 91 · Answer 7 · 2026-04-11 11:45:12

91

Views

How to represent elements of a field by a base with minimal coefficients?

Published on 11 Apr 2026 - 11:45

score 304 · Answer 8 · 2026-04-16 02:50:51

304

Views

Formal derivative of polynomials with coefficients in a quotient ring $GF(2)[x]/p(x)$

Published on 16 Apr 2026 - 2:50

score 131 · Answer 9 · 2026-04-15 17:31:10

131

Views

Relatively simple algorithm for factoring polynomials in $GF(2^k)[x]$ with $32 \leq k \leq 128$

Published on 15 Apr 2026 - 17:31

score 33 · Answer 10 · 2026-04-17 01:14:39

33

Views

Connection Between Sum of Divisors of $p^n$ (p a prime) and number of 1-dimensional subspaces of $\mathbb{F}_p^{n+1}$

Published on 17 Apr 2026 - 1:14

score 124 · Answer 11 · 2026-04-17 06:25:48

124

Views

Find all zeroes $f(x) = 3x^{299}+2x^{222}-5 \in \mathbb{F}_{7}[x]$ in $\Bbb{F}_{7}$

Published on 17 Apr 2026 - 6:25

score 56 · Answer 12 · 2026-03-25 11:10:49

56

Views

Is the XTR-algorithm applicable over any finite field extension?

Published on 25 Mar 2026 - 11:10

score 60 · Answer 13 · 2026-04-15 18:13:19

60

Views

$Gal(F/k) \cong \langle k^{^{n}}, a_1, \ldots, a_n \rangle / \langle k^{^{n}} \rangle$

Published on 15 Apr 2026 - 18:13

score 192 · Answer 14 · 2026-04-14 18:43:10

192

Views

Number of elements of a coset of a group of a finite field

Published on 14 Apr 2026 - 18:43

score 312 · Answer 15 · 2026-04-16 04:58:57

312

Views

Let $p$ be a prime and let $F$ be a field with $p^k$ elements and $K$ a subfield. Show that $Gal(F : K)$ is a cyclic group of order $[F : K]$.

Published on 16 Apr 2026 - 4:58

List Question

Points with 0 $x$-coordinate in $r$-torsion and distortion map

Find all primitive elements $e = aw+b$ in the field GF$(25)$ where $w^2 = 2$.

Only finitely many genus $g$ smooth projective curves over a finite field

Lines in $\mathbb{F}_3^n$

Find a Basis for the Vectors $W=\operatorname{span}\{v_1,v_2,v_3,v_4,v_5\} \subseteq\mathbb{F}_{2} ^{5}$

How to construct the isomorphism on GAP?

How to represent elements of a field by a base with minimal coefficients?

Formal derivative of polynomials with coefficients in a quotient ring $GF(2)[x]/p(x)$

Relatively simple algorithm for factoring polynomials in $GF(2^k)[x]$ with $32 \leq k \leq 128$

Connection Between Sum of Divisors of $p^n$ (p a prime) and number of 1-dimensional subspaces of $\mathbb{F}_p^{n+1}$

Find all zeroes $f(x) = 3x^{299}+2x^{222}-5 \in \mathbb{F}_{7}[x]$ in $\Bbb{F}_{7}$

Is the XTR-algorithm applicable over any finite field extension?

$Gal(F/k) \cong \langle k^{^{n}}, a_1, \ldots, a_n \rangle / \langle k^{^{n}} \rangle$

Number of elements of a coset of a group of a finite field

Let $p$ be a prime and let $F$ be a field with $p^k$ elements and $K$ a subfield. Show that $Gal(F : K)$ is a cyclic group of order $[F : K]$.

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