mirror of
https://github.com/logos-storage/outsourcing-Reed-Solomon.git
synced 2026-01-02 13:43:07 +00:00
25 lines
987 B
Markdown
25 lines
987 B
Markdown
|
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
|
||
|
|
(from the [`zikkurat-algebra`](https://github.com/faulhornlabs/zikkurat-algebra/) library)
|
||
|
|
for some of the critical routines: Goldilocks field and extension, hashing,
|
||
|
|
fast Fourier transform.
|
||
|
|
|
||
|
|
### References
|
||
|
|
|
||
|
|
- E. Ben-Sasson, L. Goldberg, S. Kopparty, and S. Saraf: _"DEEP-FRI: Sam-
|
||
|
|
pling outside the box improves soundness"_ - https://ia.cr/2019/336.
|
||
|
|
- Ulrich Haböck: _"A summary on the FRI low degree test"_
|