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Sigmabus: Binding Sigmas in Circuits for Fast Curve Operations (Kadianakis, Maller, Novakovic 2023)

Last modified: 2026-10-27

Summary

Moves expensive elliptic-curve scalar multiplications out of the SNARK circuit: a Sigma protocol proves the group operation outside the circuit, and a small in-circuit check binds it to the circuit's witness. This cuts constraint counts for statements that involve curve operations. Cited in BL26-SoK-AnonCreds as an example of tailoring proof systems by moving costly sub-proofs out of the circuit.