Chaum Pedersen ZK Protocol Using gRPC
Here is the protocol worklow. Let us define g as the generator of the multiplicative cyclic group G of order q. Let us define p = 2q + 1 (a safe prime). The values p, g, a1, b1, c1 are publicly available to the prover and the verifier. a1 = g^a mod q b1 = g^b mod q c1 = g^ab mod q where a and b are cryptographically secure randomly generated numbers. prover wants to prove he knows a secret x. the prover computes y1 = g^x mod q and y2 = b1^x mod q. the prover sends y1 and y2 to the verifier. The verifier then computes a challenge value s and sends it to the prover. the prover then computes z…
In plain words
This is an implementation of the Chaum Pedersen zero-knowledge proof protocol using gRPC for communication between a prover and verifier. The system enables one party to cryptographically prove knowledge of a secret value without revealing it. Using safe primes and modular arithmetic, the prover generates commitments and responds to challenges in a way that verifies the secret's existence through mathematical checks. The software is designed for developers working with cryptographic authentication and privacy-preserving verification systems.
written from the facts on this page · September 2026
From the sources
In the maker’s words, at launch
Here is the protocol worklow. Let us define g as the generator of the multiplicative cyclic group G of order q. Let us define p = 2q + 1 (a safe prime). The values p, g, a1, b1, c1 are publicly available to the prover and the verifier. a1 = g^a mod q b1 = g^b mod q c1 = g^ab mod q where a and b are cryptographically secure randomly generated numbers. prover wants to prove he knows a secret x. the prover computes y1 = g^x mod q and y2 = b1^x mod q. the prover sends y1 and y2 to the verifier. The verifier then computes a challenge value s and sends it to the prover. the prover then computes z = (x + as) mod q. the prover sends z to the verifier. The verifier then does two checks, g^z mod q = a1^s * y1 mod q and b1^z mod q = c1^s * y2 mod q. If the checks are satisfied that means the prover has proved that he indeed knows x. It can be mathematically proven that these checks are indeed true if and only if the prover knows a valid x.
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