Linear PCPs

Definition ∞ Linear PCPs, or Linear Probabilistically Checkable Proofs, are a specific type of cryptographic proof system where the verifier only needs to examine a few randomly chosen bits of the proof to ascertain its validity with high probability. The “linear” aspect refers to the underlying algebraic structure used in constructing these proofs, often relying on linear codes or polynomials. These systems are instrumental in building scalable and privacy-preserving blockchain solutions. They enable efficient verification without needing to process the entire computation.
Context ∞ Linear PCPs are a highly technical subject primarily discussed within advanced cryptography research and the development of layer-2 scaling solutions for blockchains. News regarding zero-knowledge rollups or other complex privacy protocols might mention PCPs as a foundational cryptographic primitive. The ongoing work in this area aims to reduce verification costs and enhance the efficiency of decentralized systems. This area is key for scalability.