List questions from finite-fields

Published on 21 Mar 2026 - 4:00

120

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Primitive polynomial over $GF(2^n)$ with $n>1$

Published on 16 Dec 2015 - 15:45

273

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Why crypto algorithms are primarily based on finite fields?

Published on 01 Apr 2026 - 12:04

29

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Relation between the sum of the values of a polynomial $f$ over a finite field, and the additive character sum with $f$ as the polynomial argument

Published on 28 Mar 2026 - 6:10

56

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In finite field why $\overline c = -c \ne 0$ for $\overline c = c^{p^f}$.

Published on 16 Dec 2015 - 19:58

302

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Pth Root of Polynomial Over Finite Fields for Yun's Algorithm

Published on 16 Dec 2015 - 20:57

28

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For each $x \in GF(p^{2n})$ it is $1 - x^{p^n + 1} \in GF(p^n)$

Published on 17 Dec 2015 - 10:53

62

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Question on proof about finite fields mentioned on wikipedia

Published on 17 Dec 2015 - 11:23

488

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The field $\mathbb F_q$ is it $\cong \mathbb F_p[X]/(X^q-X)$?

Published on 19 Dec 2015 - 10:27

389

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Automorphisms of the affine semilinear group $A\Gamma L(1,2^{n})$

Published on 29 Mar 2026 - 15:16

790

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Compute Galois group of $\mathbb F_q/\mathbb F_p$

Published on 19 Dec 2015 - 12:29

1.5k

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Irreducible of $\mathbb Z/p\mathbb Z$.

Published on 19 Dec 2015 - 12:47

3.4k

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Division in finite fields

Published on 19 Dec 2015 - 22:46

857

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Reducibility of polynomials modulo p

Published on 20 Dec 2015 - 6:14

1.5k

Views

How to invert matrix in finite field

Published on 20 Dec 2015 - 11:43

List Question

decoding a block code in non systematic form

Primitive polynomial over $GF(2^n)$ with $n>1$

Why crypto algorithms are primarily based on finite fields?

Relation between the sum of the values of a polynomial $f$ over a finite field, and the additive character sum with $f$ as the polynomial argument

In finite field why $\overline c = -c \ne 0$ for $\overline c = c^{p^f}$.

Pth Root of Polynomial Over Finite Fields for Yun's Algorithm

For each $x \in GF(p^{2n})$ it is $1 - x^{p^n + 1} \in GF(p^n)$

Question on proof about finite fields mentioned on wikipedia

The field $\mathbb F_q$ is it $\cong \mathbb F_p[X]/(X^q-X)$?

Automorphisms of the affine semilinear group $A\Gamma L(1,2^{n})$

Compute Galois group of $\mathbb F_q/\mathbb F_p$

Irreducible of $\mathbb Z/p\mathbb Z$.

Division in finite fields

Reducibility of polynomials modulo p

How to invert matrix in finite field

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