
Briefing
Standard Designated Verifier Proofs (DVP) lose their crucial non-transferability property when recorded on a public blockchain, allowing third parties to verify the proof and compromising prover privacy. The Blockchain Designated Verifier Proof (BDVP) is introduced, a new cryptographic primitive that integrates a Chameleon Hash Function with a verifier-held trapdoor key. This mechanism grants the designated verifier the unique ability to computationally forge a simulated proof, rendering the proof non-negotiable. This breakthrough establishes a rigorous foundation for regulatory-compliant, privacy-preserving interactions on public ledgers, ensuring that proof validity remains confined to the intended verifier.

Context
The core challenge in applying Designated Verifier Proofs (DVP) to public, immutable ledgers is the inherent conflict between non-transferability and public record. Traditional DVP schemes are designed to be verifiable only by a specific party, but when the proof transcript is broadcast and permanently stored, any third party can re-run the verification process if the verifier’s key is public. This action effectively makes the proof transferable, destroying the privacy guarantee of non-negotiability. This theoretical limitation has restricted the deployment of DVP in highly transparent, on-chain compliance and decentralized identity systems.

Analysis
The BDVP scheme fundamentally alters the verifier’s role by making them a potential forger. The verifier is given a secret trapdoor key associated with a Chameleon Hash function. This trapdoor allows the verifier to find collisions in the hash function and use this capability to construct a proof that is mathematically indistinguishable from a genuine proof generated by the prover.
Conceptually, any third party observing the proof on the blockchain must assume it could have been forged by the verifier. This systematic ambiguity ∞ the inability of any third party to ascertain the proof’s origin ∞ is the mechanism that cryptographically enforces non-transferability and preserves the prover’s privacy on a public, immutable chain.

Parameters
- Non-Transferability Metric ∞ Enforced by the verifier’s ability to forge a proof, ensuring third parties cannot trust the proof’s origin.
- Post-Quantum Security ∞ The BDVP scheme is constructed with a post-quantum solution, likely leveraging lattice-based cryptography, to resist future quantum attacks.
- Core Cryptographic Tool ∞ Chameleon Hash Function, which allows for controlled collisions using a secret trapdoor.

Outlook
This research opens new avenues for privacy-centric, regulatory-compliant decentralized applications. The BDVP primitive is a foundational building block for future on-chain identity and compliance protocols that require selective disclosure and proof non-negotiability, such as verifiable credentials for institutional DeFi. The inclusion of a post-quantum security solution positions this work as a critical component for the long-term resilience of cryptographic systems, anticipating the transition to quantum-safe blockchain architectures in the next three to five years.

Verdict
The Blockchain Designated Verifier Proof is a fundamental cryptographic primitive that resolves the conflict between non-transferability and public record, securing the next generation of privacy-preserving on-chain systems.
