21st Annual IEEE Conference on Computational Complexity (CCC'06)
A 3-Query Non-Adaptive PCP with Perfect Completeness
Prague, Czech Republic
July 16-July 20
ISBN: 0-7695-2596-2
We study a very basic open problem regarding the PCP characterization of NP, namely, the power of PCPs with non-adaptive queries and perfect completeness. The lowest soundness known till now for such a PCP is \frac{6}{8} + \in given by a construction of H?astad [11]. However, Zwick [15] shows that a -query non-adaptive PCP with perfect completeness cannot achieve soundness below \frac{5}{8}.