List questions from finite-fields

Published on 02 Apr 2026 - 2:52

436

Views

BCH Coding: Parity Check Matrix

Published on 31 Mar 2026 - 9:50

95

Views

Roots of $x^p + x + [\alpha]_p \in \mathbb{F}_p[x]$

Published on 09 Feb 2016 - 12:10

389

Views

Proving that one has solved chess by exhibiting the zeroes of polynomials over finite fields?

Published on 30 Mar 2026 - 14:43

5.4k

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To find a field with $p^{2}$ elements, where $p$ is prime

Published on 10 Feb 2016 - 5:52

2k

Views

Is Z3 a sub-field of R?

Published on 11 Apr 2026 - 10:57

202

Views

Spliting subspaces and finite fields

Published on 29 Mar 2026 - 14:55

116

Views

Number of points satisfying a quadratic equation over $GF(q)$

Published on 11 Feb 2016 - 12:54

191

Views

Expected genus of a function field over a finite field

Published on 07 Mar 2026 - 9:46

374

Views

Discrete Fourier Transform DFT

Published on 09 Apr 2026 - 16:58

82

Views

Product of the norms of two vectors w.r.t a symmetric bilinear form

Published on 09 Apr 2026 - 8:27

509

Views

Finding the multiplicative inverses in fields

Published on 10 Apr 2026 - 20:29

2.3k

Views

Algorithm to find the irreducible polynomial

Published on 09 Apr 2026 - 19:27

387

Views

Proving the order of a finite field without using the characteristic

Published on 11 Mar 2026 - 7:08

497

Views

Show that $x^{p^n}-x$ is the product of all monic irreducible polynomials in $\mathbb{Z}/p\mathbb{Z}[x]$ of a degree $d$ dividing $n$.

Published on 06 Apr 2026 - 13:29

List Question

An inequality on the rank of a block matrix

BCH Coding: Parity Check Matrix

Roots of $x^p + x + [\alpha]_p \in \mathbb{F}_p[x]$

Proving that one has solved chess by exhibiting the zeroes of polynomials over finite fields?

To find a field with $p^{2}$ elements, where $p$ is prime

Is Z3 a sub-field of R?

Spliting subspaces and finite fields

Number of points satisfying a quadratic equation over $GF(q)$

Expected genus of a function field over a finite field

Discrete Fourier Transform DFT

Product of the norms of two vectors w.r.t a symmetric bilinear form

Finding the multiplicative inverses in fields

Algorithm to find the irreducible polynomial

Proving the order of a finite field without using the characteristic

Show that $x^{p^n}-x$ is the product of all monic irreducible polynomials in $\mathbb{Z}/p\mathbb{Z}[x]$ of a degree $d$ dividing $n$.

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