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Under discussion in the paper is an $i\mathcal{O}$ (indistinguishabilityobfuscator) for circuits in Nick's Class. The obfuscator is constructed byencoding the Branching Program given by Barrington's theorem using MultilinearJigsaw Puzzle framework. We will show under various indistinguishabilityhardness assumptions, the constructed obfuscator is an $i\mathcal{O}$ forNick's Class. Using Fully Homomorphic Encryption, we will amplify the resultand construct an $i\mathcal{O}$ for $\textbf{P}/poly$, which are circuits ofpolynomial size. Discussion on $i\mathcal{O}$ and Functional Encryption is alsoincluded in this paper.

Indistinguishability Obfuscation of Circuits and its Application in Security