Paper 2016/477

Shortening the Libert-Peters-Yung Revocable Group Signature Scheme by Using the Random Oracle Methodology

Kazuma Ohara, Keita Emura, Goichiro Hanaoka, Ai Ishida, Kazuo Ohta, and Yusuke Sakai


At EUROCRYPT 2012, Libert, Peters and Yung (LPY) proposed the first scalable revocable group signature (R-GS) scheme in the standard model which achieves constant signing/verification costs and other costs regarding signers are at most logarithmic in N, where N is the maximum number of group members. However, although the LPY R-GS scheme is asymptotically quite efficient, this scheme is not sufficiently efficient in practice. For example, the signature size of the LPY scheme is roughly 10 times larger than that of an RSA signature (for 160-bit security). In this paper, we propose a compact R-GS scheme secure in the random oracle model that is efficient not only in the asymptotic sense but also in practical parameter settings. We achieve the same efficiency as the LPY scheme in an asymptotic sense, and the signature size is nearly equal to that of an RSA signature (for 160-bit security). It is particularly worth noting that our R-GS scheme has the smallest signature size compared to those of previous R-GS schemes which enable constant signing/verification costs. Our technique, which we call parallel Boneh–Boyen–Shacham group signature technique, helps to construct an R-GS scheme without following the technique used in LPY, i.e., we directly apply the Naor–Naor–Lotspiech framework without using any identity-based encryption.

Available format(s)
Public-key cryptography
Publication info
Published elsewhere. Major revision. IEICE Transactions, Vol.E102-A:2019
group signaturerevocationscalability
Contact author(s)
k-ohara @ ax jp nec com
yusuke sakai @ aist go jp
k-emura @ nict go jp
hanaoka-goichiro @ aist go jp
a ishida @ aist go jp
kazuo ohta @ uec ac jp
2019-08-26: revised
2016-05-19: received
See all versions
Short URL
Creative Commons Attribution


      author = {Kazuma Ohara and Keita Emura and Goichiro Hanaoka and Ai Ishida and Kazuo Ohta and Yusuke Sakai},
      title = {Shortening the Libert-Peters-Yung Revocable Group Signature Scheme by Using the Random Oracle Methodology},
      howpublished = {Cryptology ePrint Archive, Paper 2016/477},
      year = {2016},
      note = {\url{}},
      url = {}
Note: In order to protect the privacy of readers, does not use cookies or embedded third party content.