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

Antonio Faonio; Dennis Hofheinz; Luigi Russo

Paper 2023/152

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

Antonio Faonio

, EURECOM

Dennis Hofheinz, ETH Zurich

Luigi Russo

, EURECOM

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.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: A major revision of an IACR publication in PKC 2023
Contact author(s): antonio faonio @ eurecom fr
hofheinz @ inf ethz ch
russol @ eurecom fr
History: 2023-02-22: revised; 2023-02-08: received; See all versions
Short URL: https://ia.cr/2023/152
License: CC BY

BibTeX

@misc{cryptoeprint:2023/152,
      author = {Antonio Faonio and Dennis Hofheinz and Luigi Russo},
      title = {Almost Tightly-Secure Re-Randomizable and Replayable CCA-secure Public Key Encryption},
      howpublished = {Cryptology ePrint Archive, Paper 2023/152},
      year = {2023},
      note = {\url{https://eprint.iacr.org/2023/152}},
      url = {https://eprint.iacr.org/2023/152}
}