SoK: Vector OLE-Based Zero-Knowledge Protocols

Carsten Baum, Samuel Dittmer, Peter Scholl, Xiao Wang

Abstract: A zero-knowledge proof is a cryptographic protocol where a prover can convince a verifier that a statement is true, without revealing any further information except for the truth of the statement. More precisely, if $x$ is a statement from an NP language verified by an efficient machine $M$, then a zero-knowledge proof aims to prove to the verifier that there exists a witness $w$ such that $M(x,w)=1$, without revealing any further information about $w$. The proof is a proof of knowledge, if the prover additionally convinces the verifier that it knows the witness $w$, rather than just of its existence. This article is a survey of recent developments in building practical systems for zero-knowledge proofs of knowledge using vector oblivious linear evaluation (VOLE), a tool from secure two-party computation.