Definition ∞ Homomorphic vector commitments are cryptographic primitives that allow a prover to commit to a vector of values and later open specific positions in the vector, while also enabling computations on the committed data without revealing the individual values. This technology offers efficient verification of data integrity and computations, preserving privacy and reducing proof sizes in decentralized systems. It combines the properties of homomorphic encryption with vector commitments.
Context ∞ In the domain of zero-knowledge proofs and data availability sampling for scalable blockchains, homomorphic vector commitments are a cutting-edge area of cryptographic research. Their potential to significantly reduce the computational burden for verifying large datasets and enable privacy-preserving operations is a key discussion point. Further development is focused on practical implementations and performance optimization.
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