Question

Efficient method to determine if a set of vectors span a finite field with some constraints on the constants.

score 715 · Answer 1 · 2026-04-14 05:07:19

715

Views

Efficient method to determine if a set of vectors span a finite field with some constraints on the constants.

Published on 14 Apr 2026 - 5:07

score 77 · Answer 2 · 2026-04-16 19:12:45

77

Views

Finding a polynomial $g$ such that $g^2=f$ for certain $f$ in $\mathbb{F}_{16}$

Published on 16 Apr 2026 - 19:12

score 4.3k · Answer 3 · 2026-04-11 01:09:18

4.3k

Views

Proving a polynomial irreducible over finite field

Published on 11 Apr 2026 - 1:09

score 146 · Answer 4 · 2026-04-14 21:18:28

146

Views

when do two rational elliptic curves have identical size when reduced mod $p$ for all primes $p$?

Published on 14 Apr 2026 - 21:18

score 1.1k · Answer 5 · 2026-04-13 01:59:46

1.1k

Views

Alternative solution to determine the number of irreducible, monic polynomials in $\mathbb{Z}_p[x]$ of degree $k$

Published on 13 Apr 2026 - 1:59

score 279 · Answer 6 · 2026-04-15 22:40:31

279

Views

Irreduciblity of the polynomial $x^{p^n}-x+1$

Published on 15 Apr 2026 - 22:40

score 369 · Answer 7 · 2026-04-14 00:54:03

369

Views

Cryptography: how to determine if an element is in a finite field?

Published on 14 Apr 2026 - 0:54

score 173 · Answer 8 · 2026-04-16 14:30:47

173

Views

Automorphisms of $\mathbb{F}_2[x,y]$

Published on 16 Apr 2026 - 14:30

score 127 · Answer 9 · 2026-04-14 05:55:46

127

Views

$Y^3$ congruent to $1 \pmod {p}$

Published on 14 Apr 2026 - 5:55

score 3k · Answer 10 · 2026-04-14 00:04:20

3k

Views

Possible Cardinality of a Field

Published on 14 Apr 2026 - 0:04

score 695 · Answer 11 · 2026-04-15 07:46:09

695

Views

finite fields, a cubic extension on finite fields.

Published on 15 Apr 2026 - 7:46

score 2.6k · Answer 12 · 2026-04-16 10:56:18

2.6k

Views

inverse,multiplicative inverse and Congruence of a prime field

Published on 16 Apr 2026 - 10:56

score 139 · Answer 13 · 2026-04-16 00:58:55

139

Views

root of $x^3+x+1$ over $\mathbb{F}_5$

Published on 16 Apr 2026 - 0:58

score 219 · Answer 14 · 2026-04-16 23:03:55

219

Views

The number of primitve elements in $GF(s^2)$

Published on 16 Apr 2026 - 23:03

score 74 · Answer 15 · 2026-04-13 00:21:03

74

Views

The probability of sum of $k$ randomly chosen numbers from $\mathbb{Z}_p$ being zero

Published on 13 Apr 2026 - 0:21

List Question

Efficient method to determine if a set of vectors span a finite field with some constraints on the constants.

Finding a polynomial $g$ such that $g^2=f$ for certain $f$ in $\mathbb{F}_{16}$

Proving a polynomial irreducible over finite field

when do two rational elliptic curves have identical size when reduced mod $p$ for all primes $p$?

Alternative solution to determine the number of irreducible, monic polynomials in $\mathbb{Z}_p[x]$ of degree $k$

Irreduciblity of the polynomial $x^{p^n}-x+1$

Cryptography: how to determine if an element is in a finite field?

Automorphisms of $\mathbb{F}_2[x,y]$

$Y^3$ congruent to $1 \pmod {p}$

Possible Cardinality of a Field

finite fields, a cubic extension on finite fields.

inverse,multiplicative inverse and Congruence of a prime field

root of $x^3+x+1$ over $\mathbb{F}_5$

The number of primitve elements in $GF(s^2)$

The probability of sum of $k$ randomly chosen numbers from $\mathbb{Z}_p$ being zero

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