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Reference implementation in Haskell
-----------------------------------
First we implement a slow but hopefully easier to understand version in Haskell,
to get more familiarity with all the details.
The implementation is loosely based on (the FRI portion of) Plonky2, which in
turn is more-or-less the same as the DEEP-FRI paper. We use different conventions
though, as Plonky2 is rather over-complicated.
See the [docs](../docs/) directory for details.
### Improving performance
We could significantly improve the speed of the Haskell implementation by binding C code
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for some of the critical routines: Goldilocks field and extension, hashing, fast Fourier
transform.
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### References
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- E. Ben-Sasson, L. Goldberg, S. Kopparty, and S. Saraf: _"DEEP-FRI: Sampling outside the box improves soundness"_ - https://eprint.iacr.org/2019/336
- Ulrich Haböck: _"A summary on the FRI low degree test"_ - https://eprint.iacr.org/2022/1216