Welcome to the resource topic for 2018/587
Title:
Offline Witness Encryption from Witness PRF and Randomized Encoding in CRS model
Authors: Tapas Pal, Ratna Dutta
Abstract:Witness pseudorandom functions (witness PRFs) generate a pseudorandom value corresponding to an instance x of an NP language and the same pseudorandom value can be recomputed if a witness w that x is in the language is known. Zhandry (TCC 2016) introduced the idea of witness PRFs and gave a construction using multilinear maps. Witness PRFs can be interconnected with the recent powerful cryptographic primitive called witness encryption. In witness encryption, a message can be encrypted with respect to an instance x of an NP language and a decryptor that knows a witness w corresponding to the instance x can recover the message from the ciphertext. Mostly, witness encryption was constructed using obfuscation or multilinear maps. In this work, we build (single relation) witness PRFs using a puncturable pseudorandom function and a randomized encoding in common reference string (CRS) model. Next, we propose construction of an offline witness encryption having short ciphertexts from a public-key encryption scheme, an extractable witness PRF and a randomized encoding in CRS model. Furthermore, we show how to convert our single relation witness PRF into a multi-relation witness PRF and the offline witness encryption into an offline functional witness encryption scheme.
ePrint: https://eprint.iacr.org/2018/587
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