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