Welcome to the resource topic for
**2016/006**

**Title:**

Indistinguishability Obfuscation with Non-trivial Efficiency

**Authors:**
Huijia Lin, Rafael Pass, Karn Seth, Sidharth Telang

**Abstract:**

It is well known that *inefficient* indistinguishability obfuscators (iO) with running time poly(|C|,lambda) . 2^n, where C is the circuit to be obfuscated, lambda is the security parameter, and n is the input length of C, exists *unconditionally*: simply output the function table of C (i.e., the output of C on all possible inputs). Such inefficient obfuscators, however, are not useful for applications. We here consider iO with a slightly `non-trivial'' notion of efficiency: the running-time of the obfuscator may still be `

trivialâ€™â€™ (namely, poly(|C|,lambda) . 2^n), but we now require that the obfuscated code is just slightly smaller than the truth table of C (namely poly(|C|,lambda) . 2^{n(1-epsilon)}, where epsilon >0); we refer to this notion as *iO with exponential efficiency*, or simply *exponentially-efficient iO (XiO)*. We show that, perhaps surprisingly, under the subexponential LWE assumption, subexponentially-secure XiO for polynomial-size circuits implies (polynomial-time computable) iO for all polynomial-size circuits.

**ePrint:**
https://eprint.iacr.org/2016/006

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