[Resource Topic] 2020/1186: Constant Ciphertext-Rate Non-Committing Encryption from Standard Assumptions

Welcome to the resource topic for 2020/1186

Title:
Constant Ciphertext-Rate Non-Committing Encryption from Standard Assumptions

Authors: Zvika Brakerski, Pedro Branco, Nico Döttling, Sanjam Garg, and Giulio Malavolta

Abstract:

Non-committing encryption (NCE) is a type of public key encryption which comes with the ability to equivocate ciphertexts to encryptions of arbitrary messages, i.e., it allows one to find coins for key generation and encryption which ``explain’’ a given ciphertext as an encryption of any message. NCE is the cornerstone to construct adaptively secure multiparty computation [Canetti et al. STOC’96] and can be seen as the quintessential notion of security for public key encryption to realize ideal communication channels. A large body of literature investigates what is the best message-to-ciphertext ratio (i.e., the rate) that one can hope to achieve for NCE. In this work we propose a near complete resolution to this question and we show how to construct NCE with constant rate in the plain model from a variety of assumptions, such as the hardness of the learning with errors (LWE) or the decisional Diffie-Hellman (DDH). Prior to our work, constructing NCE with constant rate required a trusted setup and indistinguishability obfuscation [Canetti et al. ASIACRYPT’17].

ePrint: https://eprint.iacr.org/2020/1186

Talk: https://www.youtube.com/watch?v=P5MAI8YsRd0

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