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Vector Commitment Scheme

Definition

A Vector Commitment Scheme is a cryptographic primitive that allows a party to commit to a vector of values in a concise manner. Subsequently, the committer can open the commitment at specific positions, providing a short proof that a particular value resides at that position within the committed vector. This scheme ensures that the commitment is binding and hiding, preventing alteration or revelation of other values. It enables efficient verification of individual elements within a larger data structure.