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This issue serves as a note on EMP-ZK for a prime field that is not of a Mersenne prime, but with a high two-arity (aka, p - 1 has a large k for 2^k).
This is needed in some situations:
- Integrat…
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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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In the mathematical sense prime fields are not ordered. Since any ordering won't satisfy the 1st condition of "Total order" [here](https://en.wikipedia.org/wiki/Ordered_field#Definitions). So I was ju…
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When purchasing Amazon Prime video content, a 5 digit PIN display pops up:
![image](https://user-images.githubusercontent.com/3332524/85958624-c919c980-b964-11ea-8854-7fec8d8bd2eb.png)
Each of these…
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_edited: Field == Modular arithmetic for prime modulus only_
Some ideas of modular arithmetic design.
Many algorithms are only applicable to prime moduli (Legendre symbol, Fermat's Little Theore…
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In sage 9.3, raising an integer to a finite-field element in some cases coerces the **base** into the finite field. I think the correct behaviour should be to throw an error, or attempt to interpret…
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### Background
This ticket is to track the continuation of the effort started in #6551 of mapping AOE fields we collect in the FHIR bundle:
```
We also need to map the following fields...
- actual…
emyl3 updated
3 weeks ago
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Currently, SymPy uses adjugate matrix calculation for [inv_mod](https://github.com/sympy/sympy/blob/master/sympy/matrices/matrices.py#L2699), which requires `n^2` determinants to be calculated of matr…
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It would be nice to be able to create finite fields without checking that the characteristic is actually prime.
You can more or less do that for prime fields using directly the FiniteField_prime_mo…
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Here are some ideas
* Add columns for list of prime divisors of conductor, prime divisors of class groups.
* How many elliptic curves have supersingular reduction at l.
* For number fields, how man…