List questions from finite-fields

Published on 10 Apr 2026 - 4:14

173

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Decompose in irreducible factors over $\mathbb{Z}_3[X]$

Published on 13 Apr 2026 - 23:44

53

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Proof about finite fields and primitive elements

Published on 14 Apr 2026 - 1:15

57

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Coding Theory: Irreducible Polynomial divides x^m+1

Published on 13 Apr 2026 - 21:42

42

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Finding the inverse of $(x^2+2)$ in the field $S = \Bbb F_3[x]/(x^4+x^3+x^2+1)$

Published on 17 Apr 2026 - 5:39

93

Views

Factorizing polynomials over finite fields and $\mathbb{Q}$

Published on 23 Apr 2026 - 1:11

58

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Where did Silverman used the condition $ j(E)∈\Bbb F_q (q＝p^2)$?

Published on 17 Apr 2026 - 12:42

55

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factoring a polynomial in $\mathbb{Z}_3[x]$

Published on 23 Apr 2026 - 1:19

40

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For a finite field $K$ with $char(K) \neq 2$, showing $[K^:(K^)^2]=2$ in two different ways

Published on 13 Apr 2026 - 18:28

69

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Is it true that for every $p$ and $q$ prime there exist infinitely many $k$ such that $p^k - 1$ is divisible by $q$?

Published on 15 Apr 2026 - 17:16

83

Views

Conditions for Pollard's rho algorithm for logarithms

Published on 10 Apr 2026 - 22:21

49

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Let $K$ be an infinite algebraic extension of a finite field and $a,b \in K$ are both in the same finite subfield of $K$...

Published on 14 Apr 2026 - 9:43

95

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$f(x)=x^4+x+1$ is separable over $\Bbb F_p$ iff $p=229$

Published on 17 Apr 2026 - 6:23

249

Views

Possible Jordan and Rational Canonical Forms ... over $\mathbb{F}_5$

Published on 14 Apr 2026 - 23:13

1.6k

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Finite field $GF(16)$

Published on 14 Apr 2026 - 6:45

List Question

Splitting field over the field of fractions $\mathbb{Z}_p(x)$

Decompose in irreducible factors over $\mathbb{Z}_3[X]$

Proof about finite fields and primitive elements

Coding Theory: Irreducible Polynomial divides x^m+1

Finding the inverse of $(x^2+2)$ in the field $S = \Bbb F_3[x]/(x^4+x^3+x^2+1)$

Factorizing polynomials over finite fields and $\mathbb{Q}$

Where did Silverman used the condition $ j(E)∈\Bbb F_q (q＝p^2)$?

factoring a polynomial in $\mathbb{Z}_3[x]$

For a finite field $K$ with $char(K) \neq 2$, showing $[K^:(K^)^2]=2$ in two different ways

Is it true that for every $p$ and $q$ prime there exist infinitely many $k$ such that $p^k - 1$ is divisible by $q$?

Conditions for Pollard's rho algorithm for logarithms

Let $K$ be an infinite algebraic extension of a finite field and $a,b \in K$ are both in the same finite subfield of $K$...

$f(x)=x^4+x+1$ is separable over $\Bbb F_p$ iff $p=229$

Possible Jordan and Rational Canonical Forms ... over $\mathbb{F}_5$

Finite field $GF(16)$

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