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Almost Tightly-Secure Re-Randomizable and Replayable CCA-secure Public Key Encryption

Authors:
Antonio Faonio , EURECOM
Dennis Hofheinz , ETH Zurich
Luigi Russo , EURECOM
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DOI: 10.1007/978-3-031-31371-4_10
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Presentation: Slides
Conference: PKC 2023
Abstract: Re-randomizable Replayable CCA-secure public key encryption (Rand-RCCA PKE) schemes guarantee security against chosen-ciphertext attacks while ensuring the useful property of re-randomizable ciphertexts. We introduce the notion of multi-user and multi-ciphertext Rand-RCCA PKE and we give the first construction of such a PKE scheme with an almost tight security reduction to a standard assumption. Our construction is structure preserving and can be instantiated over Type-1 pairing groups. Technically, our work borrows ideas from the state of the art Rand-RCCA PKE scheme of Faonio et al. (ASIACRYPT’19) and the adaptive partitioning technique of Hofheinz (EUROCRYPT’17). Additionally, we show (1) how to turn our scheme into a publicly-verifiable (pv) Rand-RCCA scheme and (2) that plugging our pv-Rand-RCCA PKE scheme into the MixNet protocol of Faonio et al. we can obtain the first almost tightly-secure MixNet protocol.
BibTeX
@inproceedings{pkc-2023-32752,
  title={Almost Tightly-Secure Re-Randomizable and Replayable CCA-secure Public Key Encryption},
  publisher={Springer-Verlag},
  doi={10.1007/978-3-031-31371-4_10},
  author={Antonio Faonio and Dennis Hofheinz and Luigi Russo},
  year=2023
}