List questions from finite-fields

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The most general splitting of a field extension

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Proof of Chevalley–Warning theorem

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Proof of lemma about product of irreducible polynomials over finite fields

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Factorization of $x^8-x$ over $F_2$ and $F_4$

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Irreducible polynomials of degree $2$ over a finite field

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Calculate the trace of all elements in $F_8$

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Factoring polynomial in prime field

Published on 07 Feb 2015 - 20:50

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Upper bounds for the dimension of a binary cyclic code

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$F$ a field and $G$ finite subset of $F \setminus \{0\}$ with 1 & satisfying $a, b ∈ G$ then $ab^{−1} ∈ G$. Show that $G$ is cyclic

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Zeros of the Ramanujan sum for finite fields

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When is a generalized Vandermonde matrix over a finite field invertible?

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Picking codewords that are close

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What is the general property a field in which addition can be "undone" by addition

Published on 11 Feb 2015 - 16:25

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Value of a Moebius sum

Published on 25 Mar 2026 - 16:13

List Question

Intuition behind the link between coding theory and group theory

The most general splitting of a field extension

Proof of Chevalley–Warning theorem

Proof of lemma about product of irreducible polynomials over finite fields

Factorization of $x^8-x$ over $F_2$ and $F_4$

Irreducible polynomials of degree $2$ over a finite field

Calculate the trace of all elements in $F_8$

Factoring polynomial in prime field

Upper bounds for the dimension of a binary cyclic code

$F$ a field and $G$ finite subset of $F \setminus \{0\}$ with 1 & satisfying $a, b ∈ G$ then $ab^{−1} ∈ G$. Show that $G$ is cyclic

Zeros of the Ramanujan sum for finite fields

When is a generalized Vandermonde matrix over a finite field invertible?

Picking codewords that are close

What is the general property a field in which addition can be "undone" by addition

Value of a Moebius sum

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