What is the Definition of Commitment Scheme?

A commitment scheme is a cryptographic primitive allowing a party to commit to a chosen value while keeping it hidden, with the ability to reveal it later. This scheme operates in two phases, the commit phase, where a committer selects a value and computes a commitment, and the reveal phase, where the committer discloses the value and a proof that it matches the commitment. The primary properties are hiding, meaning the commitment does not reveal the value, and binding, meaning the committer cannot change the value after committing. It is a foundational tool in zero-knowledge proofs and secure multi-party computation.

What is the Context of Commitment Scheme?

Commitment schemes are vital for privacy and verifiable computation within blockchain and cryptographic protocols. News often covers their application in scaling solutions and privacy-preserving digital asset transactions. Ongoing research focuses on developing more efficient and secure schemes to support advanced cryptographic applications, enhancing the integrity of decentralized systems.

Commitment Scheme ∞ News

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∞Verifiable Computation

∞Commitment Scheme

∞Lattice Cryptography

Efficient Post-Quantum Polynomial Commitments Unlock Scalable Zero-Knowledge Cryptography

Greyhound, a lattice-based polynomial commitment scheme, delivers post-quantum security and vastly smaller proof sizes, enabling practical, future-proof zk-SNARKs.

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∞Protocol Design

∞Poseidon Hash

∞Privacy Preserving Protocol

Zero-Knowledge Proof of Time Enables Private Verifiable Temporal Commitments

Proof of Time introduces a ZKP-based primitive that allows proving a time-elapsed commitment without revealing the original event's timestamp, securing time-sensitive decentralized applications.

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∞Quantum Resistance

∞Commitment Scheme

∞Lattice Assumptions

Lattice-Based Polynomial Commitments Unlock Post-Quantum Succinct Zero-Knowledge Proofs

Greyhound, a new lattice-based polynomial commitment scheme, achieves sublinear verification and 8000X smaller proofs, ensuring quantum-safe scalability.

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∞Information Theoretic Bound

∞Opening Proofs

∞Stateless Clients

Sublinear Vector Commitments Optimize Stateless Blockchain State Updates

A novel vector commitment scheme achieves sublinear update complexity, fundamentally reducing the overhead for light clients to maintain and verify global blockchain state.

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∞Private Smart Contracts

∞Algebraic Security Assumption

∞Functional Commitment Scheme

Functional Commitments Verify Program Output without Revealing Logic

This new Functional Commitment Scheme allows committing to a program's logic while efficiently proving its output, enabling private, verifiable outsourced computation.

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∞Cryptographic Primitive

∞Data Integrity

∞Zero-Knowledge

Sublinear Vector Commitments Enable Trustless Stateless Data Availability

A new vector commitment scheme allows light clients to verify massive datasets with logarithmic communication, fundamentally solving the stateless data availability problem.