Verifiable Inner Product Encryption Scheme

Najmeh Soroush; Vincenzo Iovino; Alfredo Rial; Peter B.  Roenne; Peter Y.  A.  Ryan

Paper 2020/122

Verifiable Inner Product Encryption Scheme

Najmeh Soroush, Vincenzo Iovino, Alfredo Rial, Peter B. Roenne, and Peter Y. A. Ryan

Abstract

In the standard setting of functional encryption (FE), we assume both the Central Authority (CA) and the encryptors to run their respective algorithms faithfully. Badrinarayanan et al [ASIACRYPT 2016] put forth the concept of verifiable FE, which essentially guarantees that dishonest encryptors and authorities, even when colluding together, are not able to generate ciphertexts and tokens that give inconsistent results. They also provide a compiler turning any perfectly correct FE into a verifiable FE, but do not give efficient constructions. In this paper we improve on this situation by considering Inner-Product Encryption (IPE), which is a special case of functional encryption and a primitive that has attracted wide interest from both practitioners and researchers in the last decade. Specifically, we construct the first efficient verifiable IPE (VIPE) scheme according to the inner-product functionality of Katz, Sahai, and Waters [EUROCRYPT 2008]. To instantiate the general construction of Badrinarayanan et al, we need to solve several additional challenges. In particular, we construct the first efficient perfectly correct IPE scheme. Our VIPE satisfies unconditional verifiability, whereas its privacy relies on the DLin assumption.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint. MINOR revision.
Keywords: Inner-product encryption Verifiability Functional commitments.
Contact author(s): najmeh soroush @ uni lu
History: 2020-02-06: received
Short URL: https://ia.cr/2020/122
License: CC BY

BibTeX

@misc{cryptoeprint:2020/122,
      author = {Najmeh Soroush and Vincenzo Iovino and Alfredo Rial and Peter B.  Roenne and Peter Y.  A.  Ryan},
      title = {Verifiable Inner Product Encryption Scheme},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/122},
      year = {2020},
      url = {https://eprint.iacr.org/2020/122}
}