Paper 2015/014

Group Signatures from Lattices: Simpler, Tighter, Shorter, Ring-based

San Ling, Khoa Nguyen, and Huaxiong Wang

Abstract

We introduce a lattice-based group signature scheme that provides several noticeable improvements over the contemporary ones: simpler construction, weaker hardness assumptions, and shorter sizes of keys and signatures. Moreover, our scheme can be transformed into the ring setting, resulting in a scheme based on ideal lattices, in which the public key and signature both have bit-size soft-O(n log N), for security parameter n, and for group of N users. Towards our goal, we construct a new lattice-based cryptographic tool: a statistical zero-knowledge argument of knowledge of a valid message-signature pair for Boyen's signature scheme (Boyen, PKC'10), which potentially can be used as the building block to design various privacy-enhancing cryptographic constructions.

Note: This is the full version of a paper due to appear at the 18th International Conference on Practice and Theory in Public-Key Cryptography (PKC 2015).

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
A major revision of an IACR publication in PKC 2015
Keywords
lattice-based cryptographygroup signatureszero-knowledge argumentsBoyen's signatureideal lattices
Contact author(s)
khoantt @ ntu edu sg
History
2015-01-12: received
Short URL
https://ia.cr/2015/014
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2015/014,
      author = {San Ling and Khoa Nguyen and Huaxiong Wang},
      title = {Group Signatures from Lattices: Simpler, Tighter, Shorter, Ring-based},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/014},
      year = {2015},
      url = {https://eprint.iacr.org/2015/014}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.