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Indistinguishability Obfuscation Without Multilinear Maps: New Paradigms via Low Degree Weak Pseudorandomness and Security Amplification
Ist Teil von
Advances in Cryptology – CRYPTO 2019, p.284-332
Ort / Verlag
Cham: Springer International Publishing
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
The existence of secure indistinguishability obfuscators (\documentclass[12pt]{minimal}
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$$i\mathcal {O}$$
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$$i\mathcal {O}$$
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$$d>2$$
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We propose a new approach to constructing \documentclass[12pt]{minimal}
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$$i\mathcal {O}$$
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$$i\mathcal {O}$$
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$$d \ge 3$$
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At the heart of our approach is the assumption that a new weak pseudorandom object exists. We consider two related variants of these objects, which we call perturbation resilient generator (\documentclass[12pt]{minimal}
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$$\varDelta $$
\end{document}RG) and pseudo flawed-smudging generator (\documentclass[12pt]{minimal}
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$$\mathrm {PFG}$$
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$$\mathbb {Z}$$
\end{document}. We show how they can be used to construct functional encryption schemes with weak security guarantees. Finally, we use novel amplification techniques to obtain full security.
As a result, we obtain \documentclass[12pt]{minimal}
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$$i\mathcal {O}$$
\end{document} for general circuits assuming:Subexponentially secure LWEBilinear Maps\documentclass[12pt]{minimal}
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$$\mathrm {poly}(\lambda )$$
\end{document}-secure 3-block-local PRGs\documentclass[12pt]{minimal}
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$$\varDelta $$
\end{document}RGs or \documentclass[12pt]{minimal}
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$$\mathrm {PFG}$$
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