Linear Pcps

Probabilistically checkable proofs whose verifier may only query linear functions of the proof, including the fully linear and one-query cases.

Status Problem Tags
– DPP Field Size
The small-field regime is settled: soundness \(\Theta(1/\sqrt{q})\) is achieved and proved optimal. In the large-field regime the source achieves soundness \(\varepsilon\) for every prime \(p\) at least \(\tilde{\Omega}(S^9/\varepsilon^6)\) and states in as many words that it believes the \(S\)-dependence is not tight. 4 open
Linear PcpsSnarkstight-boundadaptation (ai)
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