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Alternative Constructions of Asymmetric Primitives from Obfuscation: Hierarchical IBE, Predicate Encryption, and More

Abstract : We revisit constructions of asymmetric primitives from obfuscation and give simpler alternatives. We consider public-key encryption, (hierarchical) identity-based encryption ((H)IBE), and predicate encryption. Obfuscation has already been shown to imply PKE by Sahaiand Waters (STOC’14) and full-fledged functional encryption by Garget al. (FOCS’13). We simplify all these constructions and reduce the necessary assumptions on the class of circuits that the obfuscator needs to support. Our PKE scheme relies on just a PRG and does not need any puncturing. Our IBE and bounded HIBE schemes convert naturalkey-delegation mechanisms from (recursive) applications of puncturable PRFs to IBE and HIBE schemes. Our most technical contribution is an unbounded HIBE, which uses (public-coin) differing-inputs obfuscationfor circuits and whose proof relies on a recent pebbling-based hybrid argument by Fuchsbauer et al. (ASIACRYPT’14). All our constructions are anonymous, support arbitrary inputs, and have compact keys and ciphertexts
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https://hal.inria.fr/hal-03120656
Contributor : Alain Passelègue Connect in order to contact the contributor
Submitted on : Wednesday, June 16, 2021 - 4:54:54 PM
Last modification on : Monday, January 10, 2022 - 5:30:04 PM
Long-term archiving on: : Friday, September 17, 2021 - 7:21:30 PM

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  • HAL Id : hal-03120656, version 1

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Pooya Farshim, Georg Fuchsbauer, Alain Passelègue. Alternative Constructions of Asymmetric Primitives from Obfuscation: Hierarchical IBE, Predicate Encryption, and More. Indocrypt 2020 - 21st International Conference on Cryptology, Dec 2020, Virtual conference, India. ⟨hal-03120656⟩

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