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lambdaworks offers implementations for both SNARKs and STARKs provers, along with the flexibility to leverage their individual components for constructing customized SNARKs.

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- [x] Implement the 32 bit Mersennes Prime Field, F = 2^31 - 1, with an efficient backend. Bench it against the same field implemented with montgomery backend - [...

collaborator-friendly

Implement the more efficient CIOS algorithm from Gnark. Bench with the finite field benches and confirm if there are improvements https://hackmd.io/@gnark/modular_multiplication

collaborator-friendly

Add point compression to the [Pallas](https://github.com/lambdaclass/lambdaworks/blob/main/math/src/elliptic_curve/short_weierstrass/curves/pallas/curve.rs) and [Vesta](https://github.com/lambdaclass/lambdaworks/blob/main/math/src/elliptic_curve/short_weierstrass/curves/vesta/curve.rs) curves. This can be achieved by having a "compressed" version of both curves together with the affine and projective representations. We will...

# Add prover gnark example

Cairo Prover should be made compatible with Stone and the Ethereum verifier. Builtins should be proven with more complete layouts For this - [ ] Add a compatible with Stone...

security
cairo-prover

This task consists of three tasks: - [x] Add Babybear field to pre defined fields on : math/src/field/fields/fft_friendly, using the right modulus. - [x] Implement IsPrimeField for BabyBear - [x]...

good first issue
collaborator-friendly

- [ ] Add batch inverse for the evaluations of the Z Polynomial. See: [Plonk prover, L356](https://github.com/lambdaclass/lambdaworks/blob/cffa505af7c0c9f73d938577958be20e6b92676a/provers/plonk/src/prover.rs#L356) - [ ] Add rayon to the more expensive iterators

collaborator-friendly

Port cyclone MSM to lambdaworks. You can find the current implementation in the following repository: https://github.com/JumpCrypto/cyclone

Bls 12 377 currently lacks pairings. Some of the logic is shared with the 12 381. We should look how to generalize it properly or share the logic to have...

collaborator-friendly

- [ ] Add a flag to run and prove cairo1 programs, using Cairo VM cairo1 proof mode

collaborator-friendly
cairo-prover