Offline Witness Encryption from Witness PRF and Randomized Encoding in CRS model

Tapas Pal; Ratna Dutta

Paper 2018/587

Offline Witness Encryption from Witness PRF and Randomized Encoding in CRS model

Tapas Pal and 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.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. Major revision. 24th Australasian Conference on Information Security and Privacy (ACISP 2019)
Keywords: Witness PRF Offline witness encryption Randomized encoding.
Contact author(s): tapas pal @ iitkgp ac in
History: 2020-11-05: last of 2 revisions; 2018-06-12: received; See all versions
Short URL: https://ia.cr/2018/587
License: CC BY

BibTeX

@misc{cryptoeprint:2018/587,
      author = {Tapas Pal and Ratna Dutta},
      title = {Offline Witness Encryption from Witness {PRF} and Randomized Encoding in {CRS} model},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/587},
      year = {2018},
      url = {https://eprint.iacr.org/2018/587}
}