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

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

##### Abstract

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 $d \geq 1$. 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.

Available format(s)
Category
Cryptographic protocols
Publication info
A major revision of an IACR publication in PKC 2021
Keywords
group encryptionfull dynamicityrevocationanonymityzero-knowledgespam filteringcode-based protocolsstring matching
Contact author(s)
khoantt @ ntu edu sg
rei @ ucalgary ca
wsusilo @ uow edu au
hxwang @ ntu edu sg
yanhong xu1 @ ucalgary ca
zeng_neng @ sutd edu sg
History
2021-03-05: revised
See all versions
Short URL
https://ia.cr/2021/226

CC BY

BibTeX

@misc{cryptoeprint:2021/226,
author = {Khoa Nguyen and Reihaneh Safavi-Naini and Willy Susilo and Huaxiong Wang and Yanhong Xu and Neng Zeng},
title = {Group Encryption: Full Dynamicity, Message Filtering and Code-Based Instantiation},
howpublished = {Cryptology ePrint Archive, Paper 2021/226},
year = {2021},
note = {\url{https://eprint.iacr.org/2021/226}},
url = {https://eprint.iacr.org/2021/226}
}

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