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Thanks for this nice package! I wanted to ask whether there are plans to support coefficients in a finite field (using for example https://github.com/tkluck/GaloisFields.jl). Otherwise it would be hel…
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E.g. https://github.com/sympy/sympy/issues/22673.
```python
In [1]: p = Poly(x**7 - x, domain=FF(7))
In [2]: p.all_roots()
Out[2]:
⎡ 6 ___ 2/3 6 ___ 6 ___ 2/3 6 ___ …
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Here are a couple proposals for searching for Galois fields.
First, an easy one. We should add a dropdown to the number field search for `is_galois`. This can go to the right of the `Galois group…
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Before any proper work is done for finite field over `p**n`, I couldn't find any work done for primitive polynomial in `galoistools`.
But I think that it should be done first, because I guess the onl…
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Using Galois fields from `Nemo` instead of `AbstractAlgebra` heavily impacts the performance of basic arithmetic operations due to allocations for every single operation:
```julia
julia> using Abstr…
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As a first step toward Galois groups of general p-adic extensions, we should add Galois groups of tame extensions, which are easy to compute.
Depends on #31469
CC: @alexjbest
Component: **padics…
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I was surprised that I couldn't see a way to search only for Galois or only abelian number fields.
This seems like a useful feature that would probably be easiest to implement by adding a couple of c…
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Initializing a large prime field for e.g. BLS12-381 takes several minutes. I was hoping to mitigate this by pickling the GF object to disk after first run, however this does not seem to work. Shoul…
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Hi,
If the array passed to `ntt` is a `GF(2)` array, then the default `modulus` will never satisfy the required criteria (unless the array has size 1). This is because the characteristic of the fie…
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Hey @tirix
I have (with some help) formalised a result that we needed for AKS namely this one https://us.metamath.org/mpeuni/2ap1caineq.html
In lean it was quite easy to move forward, if you are …