Group Encryption: Full Dynamicity, Message Filtering and Code-Based Instantiation

Khoa Nguyen, Reihaneh Safavi-Naini, Willy Susilo, Huaxiong Wang, Yanhong Xu*, Neng Zeng

*Corresponding author for this work

Research output: Chapter in Book or Report/Conference proceedingConference Proceedingpeer-review

1 Citation (Scopus)


Group encryption (GE), introduced by Kiayias, Tsiounis and Yung (Asiacrypt’07), is the encryption analogue of group signatures. It allows to send verifiably encrypted messages satisfying certain requirements to certified members of a group, while keeping the anonymity of the receivers. Similar to the tracing mechanism in group signatures, the receiver of any ciphertext can be identified by an opening authority - should the needs arise. The primitive of GE is motivated by a number of interesting privacy-preserving applications, including the filtering of encrypted emails sent to certified members of an organization. This paper aims to improve the state-of-affairs of GE systems. Our first contribution is the formalization of fully dynamic group encryption (FDGE) - a GE system simultaneously supporting dynamic user enrolments and user revocations. The latter functionality for GE has not been considered so far. As a second contribution, we realize the message filtering feature for GE based on a list of t-bit keywords and 2 commonly used policies: “permissive” - accept the message if it contains at least one of the keywords as a substring; “prohibitive” - accept the message if all of its t-bit substrings are at Hamming distance at least d from all keywords, for d≥ 1. This feature so far has not been substantially addressed in existing instantiations of GE based on DCR, DDH, pairing-based and lattice-based assumptions. Our third contribution is the first instantiation of GE under code-based assumptions. The scheme is more efficient than the lattice-based construction of Libert et al. (Asiacrypt’16) - which, prior to our work, is the only known instantiation of GE under post-quantum assumptions. Our scheme supports the 2 suggested policies for message filtering, and in the random oracle model, it satisfies the stringent security notions for FDGE that we put forward.

Original languageEnglish
Title of host publicationPublic-Key Cryptography – PKC 2021 - 24th IACR International Conference on Practice and Theory of Public Key Cryptography, 2021, Proceedings
EditorsJuan A. Garay
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages31
ISBN (Print)9783030752477
Publication statusPublished - 2021
Externally publishedYes
Event24th IACR International Conference on Practice and Theory of Public Key Cryptography, PKC 2021 - Virtual, Online
Duration: 10 May 202113 May 2021

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12711 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference24th IACR International Conference on Practice and Theory of Public Key Cryptography, PKC 2021
CityVirtual, Online

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