List questions from finite-fields

Published on 25 Mar 2026 - 6:09

69

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What is an efficient way of evaluating a polynomial when its roots are known?

Published on 14 Sep 2018 - 11:24

369

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Bijection polynomial maps on finite field

Published on 25 Mar 2026 - 19:02

496

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Solving roots of a polynomial on $\mathbb{Z}_p$

Published on 17 Sep 2018 - 3:36

537

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Polynomial greatest common divisor over a finite field

Published on 18 Sep 2018 - 10:27

63

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Why $\Bbb Z_{p}[x]$ is finite field?

Published on 20 Sep 2018 - 13:28

81

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Galois Field of order 4 operation with addition

Published on 21 Sep 2018 - 4:28

844

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The prime number theorem over a finite field - Lang's Algebra, Chapter V, Exercise 23(b)

Published on 25 Mar 2026 - 1:17

71

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About Spliting Field

Published on 25 Mar 2026 - 16:20

653

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The Eigenvalues of a Matrix over $\mathbb{F}_2$

Published on 28 Sep 2018 - 11:17

1.2k

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Proving that $GF(p^n)$ contains a unique subfield isomorphic to $GF(p^m)$ if and only if $m$ is a divisor of $n$.

Published on 28 Sep 2018 - 17:45

119

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The Stickelberger relation in Ireland&Rosen's Number Theory book

Published on 24 Mar 2026 - 22:08

23

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Divisibility of $\operatorname{ord}\left(b\right)$ by specific power of $r$ for $b \in \mathbb{F}_q \setminus \{0\}$ where $r$ prime

Published on 03 Oct 2018 - 23:03

73

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The trace of $\alpha^{q+2}$

Published on 22 Mar 2026 - 14:25

59

Views

Proof that $ax =1$ with no division and subtraction

Published on 05 Oct 2018 - 15:17

List Question

Finding working modulus for FFT over finite fields

What is an efficient way of evaluating a polynomial when its roots are known?

Bijection polynomial maps on finite field

Solving roots of a polynomial on $\mathbb{Z}_p$

Polynomial greatest common divisor over a finite field

Why $\Bbb Z_{p}[x]$ is finite field?

Galois Field of order 4 operation with addition

The prime number theorem over a finite field - Lang's Algebra, Chapter V, Exercise 23(b)

About Spliting Field

The Eigenvalues of a Matrix over $\mathbb{F}_2$

Proving that $GF(p^n)$ contains a unique subfield isomorphic to $GF(p^m)$ if and only if $m$ is a divisor of $n$.

The Stickelberger relation in Ireland&Rosen's Number Theory book

Divisibility of $\operatorname{ord}\left(b\right)$ by specific power of $r$ for $b \in \mathbb{F}_q \setminus \{0\}$ where $r$ prime

The trace of $\alpha^{q+2}$

Proof that $ax =1$ with no division and subtraction

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