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In order to verify batch auction results, we need to represent market prices, limit prices and volumes as field elements and use arithmetic operations to calculate things like trader surplus and updat…
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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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We need to create a new README.md for this fork explaining the concept.
@maaku originally wrote describing the opportunity:
>secp256k1 is defined using arithmetic over the prime field of order p.
…
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in phi(n), "return amount" is indented improperly, making phi(n) = 1 for all n.
in step3(n,r) the range is set to (r,2) instead of (2,r). This means the required trial division does not happen.
…
danaj updated
5 years ago
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Writing a plugin is a very nice and interesting idea. There's an old open secp256k1 PR that does a very basic version of this here using `clang-query`: https://github.com/bitcoin-core/secp256k1/pull/8…
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I have compiled this list of **100 new theorems to prove using mathlib4**. Some of these (like the Feit–Thompson theorem) have already been proved in other proof assistants, but that is largely irrele…
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https://github.com/sympy/sympy/pull/25663 also broke the following code:
```python
> from sympy import FF, Integer
> K = FF(11)
> a = K(3)
> a == 3
True
> a == -8
True
# Currently (fl…
J08nY updated
4 months ago
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The following should **not** happen:
```
sage: PSR. = PowerSeriesRing(ZZ)
sage: x + O(x^2) == x
True
sage: O(x) == 0
True
```
Also, currently it is not easy to check whether a power series contain…
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Why? 319-bit prime modulus reduces G1 cost by approx 1.44x vis a vis BLS12-381/377. Constructing curves from Cocks-Pinch method (only known method to generate pairing-friendly curves of prescribed ord…
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[It was suggested on the CFRG mailing list](https://mailarchive.ietf.org/arch/msg/cfrg/ht4YzBMYWoQvKxlCxx-CAPJFtC0/) that VDAF implementers could integrate the reference code directly into their tests…