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Cryptanalyses of Branching Program Obfuscations over GGH13 Multilinear Map from NTRU Attack
Obfuscation multilinear maps graded encoding schemes
2018/5/11
In this paper, we propose cryptanalyses of all existing indistinguishability obfuscation (iO) candidates based on branching programs (BP) over GGH13 multilinear map. To achieve this, we introduce two ...
Recently, Albrecht, Davidson, Larraia, and Pellet-Mary constructed a variant of the GGH13 without ideals and presented the distinguishing attacks in simplified branching program and obfuscation securi...
We investigate the merits of altering the Garg, Gentry and Halevi (GGH13) graded encoding scheme to remove the presence of the ideal ⟨g⟩⟨g⟩. In particular, we show that we ...
On the Statistical Leak of the GGH13 Multilinear Map and some Variants
Cryptanalysis Multilinear Maps Statistical Leaks
2017/5/31
At EUROCRYPT 2013, Garg, Gentry and Halevi proposed a candidate construction of cryptographic multilinear map (MMap). Despite weaknesses uncovered by Hu and Jia (EUROCRYPT 2016), this candidate is sti...
Cryptanalysis of Indistinguishability Obfuscations of Circuits over GGH13
GGH13 obfuscation constructions
2016/12/8
Annihilation attacks, introduced in the work of Miles, Sahai, and Zhandry (CRYPTO 2016), are a class of polynomial-time attacks against several candidate indistinguishability obfuscation (iOiO) scheme...
Annihilation Attacks for Multilinear Maps: Cryptanalysis of Indistinguishability Obfuscation over GGH13
Indistinguishability Obfuscation GGH13
2016/2/23
In this work, we put forward a new class of polynomial-time attacks on the original multilinear
maps of Garg, Gentry, and Halevi (2013). Previous polynomial-time attacks on GGH13
were “zeroizing” at...