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Use dynamic prime field with modulus sampled at runtime - #141
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added this pull request to stack #142
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# Conflicts: # crates/circuit/src/constraints.rs
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Resolves #136
Introduce$\le 126$ bit modulus that is squeezed from Fiat-Shamir transcript after the commitment and statement are bound. Number of bits to use in this prime depend on the claim shape.
DynField, a field withA lot of code is shared with
Fq, this shared code has been moved to a newhelpersmodule.This field relies on a globally shared modulus, and on an assumption that nobody would change that while field elements still exists. This convention is sadly not enforced by the type system.
[Remark: We could avoid this problem completely by passing around
FieldConfig, but that's a bit cumbersome]To sample a random prime, we use small prime numbers table sieve, followed by Miller-Rabin primality test, based on the PoC repo implementation.
E2E performance is quite close to static field, and can be optimized further. This is notable given that P/V can no longer do prime projection at the setup phase (setup got a bit faster).
Notable tricks used:
Vec<_>, withLayoutspecifying the sparse matrix layout.BigInttoFieldprojection has been optimized foru128-wide cases (in practice - pretty much all of them)Performance
To measure performance, I used a circuit
sha256-2kbRUSTFLAGS="-C target-cpu=native" cargo run --release -p bitz-cli -- circuit-e2e --circuit sha256-2kbsha256-2kbNotes:
mainbranch we normally useFq<Q100>, a 100-bit prime. To make it comparable, I usedFq<2230695117703373733444658220249201783>