List questions from finite-fields

Published on 15 Apr 2026 - 21:10

865

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Properties of finite field elements with trace zero

Published on 09 Apr 2026 - 12:19

217

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Berlekamp algorithm

Published on 11 Apr 2026 - 10:47

1.5k

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Proof of Cayley-Hamilton Theorem in infinite fields only?

Published on 09 Apr 2026 - 4:02

200

Views

Weil pairing on $E[p]$ is trivial

Published on 25 Mar 2026 - 21:31

51

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The Order of an Especial Element in the Binary Finite Field

Published on 15 Apr 2026 - 7:55

79

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Why $\sum_{d|n} \mu(d)q^{n/d}= \sum_{d|n} \mu(n/d)q^d$

Published on 27 Mar 2026 - 10:46

436

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Diagonalization of a Circulant Matrix of Even Size

Published on 25 Mar 2026 - 12:17

178

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Find the splitting field of $(x^3+x^2+1)(x^3+x+1)(x^2+x+1)$ over $\mathbb{F}_2$.

Published on 17 Apr 2026 - 5:38

84

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What are the elements of $\mathbb{Z}_{2}[x]/I$? Is it a field?

Published on 14 Apr 2026 - 5:32

69

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Given a polynomial $f$, find another, $h$, s.t $wt(h) \leq wt(f)$ and $\dim_K((h)) \leq \dim_{\mathbb{F}}((f))$

Published on 15 Apr 2026 - 10:25

80

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Dimensions of Field Extensions

Published on 13 Apr 2026 - 9:21

239

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Determining whether $\Phi_7(x)$ is irreducible over $\mathbb{F}_{11}$

Published on 16 Apr 2026 - 13:35

1.5k

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polynomials of degree 3 over finite field

Published on 11 Apr 2026 - 16:53

208

Views

'Dot Product' on a Vectors Space over $\mathbb{F}_2$

Published on 16 Apr 2026 - 4:09

List Question

Intersection of cosets of additive subgroups of GF$^+(2^s)$

Properties of finite field elements with trace zero

Berlekamp algorithm

Proof of Cayley-Hamilton Theorem in infinite fields only?

Weil pairing on $E[p]$ is trivial

The Order of an Especial Element in the Binary Finite Field

Why $\sum_{d|n} \mu(d)q^{n/d}= \sum_{d|n} \mu(n/d)q^d$

Diagonalization of a Circulant Matrix of Even Size

Find the splitting field of $(x^3+x^2+1)(x^3+x+1)(x^2+x+1)$ over $\mathbb{F}_2$.

What are the elements of $\mathbb{Z}_{2}[x]/I$? Is it a field?

Given a polynomial $f$, find another, $h$, s.t $wt(h) \leq wt(f)$ and $\dim_K((h)) \leq \dim_{\mathbb{F}}((f))$

Dimensions of Field Extensions

Determining whether $\Phi_7(x)$ is irreducible over $\mathbb{F}_{11}$

polynomials of degree 3 over finite field

'Dot Product' on a Vectors Space over $\mathbb{F}_2$

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