In this work, we explore the connection between witness indistinguishability (WI) and indistinguishability obfuscation (iO). We construct a one-round witness indistinguishable protocol for all of NP based on the the existence of indistinguishability obfuscator (the first candidate construction of indistinguishability obfuscator was recently put forward by Garg et.al. in 2013). Based on our one-round WI, we also
construct a two-round oblivious transfer (OT) protocol and by a slight modification of our OT protocol, we get a noninteractive bit commitment scheme.
↧