README.md

Nexus Nova

Collection of folding schemes implementations using arkworks, including:

• Nova¹
• SuperNova²
• HyperNova³

Compared to original implementation of Nova by Microsoft research – https://github.com/microsoft/Nova, we use CycleFold⁴, at the cost of bigger verifier's circuit.

Code structure

├── circuits      # implementation of augmented circuits along with IVC (private with re-exports)
├── folding       # folding schemes implementation
├── gadgets       # primitives for the verifier circuits -- mirrors the "folding" module
├── absorb.rs     # cryptographic sponge interface extension
├── commitment.rs # commitment scheme interface
├── provider      # internal traits implementors -- commitment schemes, hashers, etc.
├── ccs           # customizable constraint system primitives
├── r1cs          # R1CS primitives
... snipped

Performance

Benchmarks are available here.

---

Footnotes

1. Nova: Recursive Zero-Knowledge Arguments from Folding Schemes ↩

2. SuperNova: Proving universal machine executions without universal circuits ↩

3. HyperNova: Recursive arguments for customizable constraint systems ↩

4. CycleFold: Folding-scheme-based recursive arguments over a cycle of elliptic curves ↩