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Vector OLE

Definition ∞ Vector OLE, or Vector Oblivious Linear Evaluation, is a cryptographic primitive that enables two parties to compute a linear function of their private inputs without revealing those inputs to each other. One party holds a vector, and the other holds a scalar. The protocol computes the scalar product of the vector and scalar obliviously. This is a fundamental building block for secure multi-party computation.
Context ∞ Vector OLE is a crucial component in constructing advanced privacy-preserving technologies, such as zero-knowledge proofs and secure computation protocols, within the digital asset space. Research focuses on optimizing its efficiency and security to support more complex and practical applications. This primitive is vital for enabling confidential transactions and verifiable computations without disclosing sensitive information on blockchain networks.

Interconnected translucent blue block segments are joined by metallic rings, visually representing a blockchain. White granular frost partially covers the structure, suggesting robust cold storage protocols and enhanced security. This DLT visual metaphor emphasizes cryptographic linking and data integrity within a decentralized network. The transparent blocks highlight on-chain data visibility and the immutability of the ledger, crucial for robust corporate crypto infrastructure and efficient consensus mechanisms among validation nodes.

→Secure Computation

→Integer Ring Arithmetic

→ZK-VM Foundation

Vector-OLE Enables Efficient Zero-Knowledge Proofs over Integer Rings

A new Vector-OLE protocol provides maliciously secure, high-speed Zero-Knowledge Proofs over the integer ring $mathbb{Z}_{2^k}$, fundamentally aligning verifiable computation with modern CPU arithmetic.