[Resource Topic] 2022/1301: On the Invalidity of Lin16/Lin17 Obfuscation Schemes

Welcome to the resource topic for 2022/1301

Title:
On the Invalidity of Lin16/Lin17 Obfuscation Schemes

Authors: Hu Yupu, Dong Siyue, Wang Baocang, Dong Xingting

Abstract:

Indistinguishability obfuscation (IO) is at the frontier of cryptography research. Lin16/Lin17 obfuscation schemes are famous progresses towards simplifying obfuscation mechanism. Their basic structure can be described in the following way: to obfuscate a polynomial-time-computable Boolean function c(x), first divide it into a group of component functions with low-degree and low-locality by using randomized encoding, and then hide the shapes of these component functions by using constant-degree multilinear maps (rather than polynomial degree ones).

In this short paper we point out that Lin16/Lin17 schemes are invalid. More detailedly, they cannot achieve reusability, therefore they are not true IO schemes, but rather garbling schemes which are one-time schemes.

ePrint: https://eprint.iacr.org/2022/1301

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