[Resource Topic] 2022/1733: New and Improved Constructions for Partially Equivocable Public Key Encryption

Welcome to the resource topic for 2022/1733

Title:
New and Improved Constructions for Partially Equivocable Public Key Encryption

Authors: Benoît Libert, Alain Passelègue, Mahshid Riahinia

Abstract:

Non-committing encryption (NCE) is an advanced form of public-key encryption which guarantees the security of a Multi-Party Computation (MPC) protocol in the presence of an adaptive adversary. Brakerski et al. (TCC 2020) recently proposed an intermediate notion, termed Packed Encryption with Partial Equivocality (PEPE), which implies NCE and preserves the ciphertext rate (up to a constant factor). In this work, we propose three new constructions of rate-1 PEPE based on standard assumptions. In particular, we obtain the first constant ciphertext-rate NCE construction from the LWE assumption with polynomial modulus, and from the Subgroup Decision assumption. We also propose an alternative DDH-based construction with guaranteed polynomial running time.

ePrint: https://eprint.iacr.org/2022/1733

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