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Compact Ring Signature in the Standard Model for Blockchain

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Information Security Practice and Experience (ISPEC 2018)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 11125))

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Abstract

Ring signature is a variant of digital signature, which makes any member in a group generate signatures representing this group with anonymity and unforgeability. In recent years, ring signatures have been employed as a kind of anonymity technology in the blockchain-based cryptocurrency such as Monero. Recently Malavolta et al. introduced a novel ring signature protocol that has anonymity and unforgeability in the standard model [33]. Their construction paradigm is based on non-interactive zero-knowledge (NIZK) arguments of knowledge and re-randomizable keys.

In this work, for the purpose of lower bandwidth cost in blockchain, we improve their ring signature by proposing a compact NIZK argument of knowledge. We show our NIZK holds under a new complexity assumption Compact Linear Knowledge of Exponent Assumption. Without the expense of security, our proposed ring signature scheme is anonymous and unforgeable in the standard model. It saves almost half of storage space of signature, and reduces almost half of pairing computations in verification process. When the ring size is large, the effect of our improvements is obvious.

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References

  1. Au, M.H., Liu, J.K., Susilo, W., Yuen, T.H.: Constant-size ID-based linkable and revocable-iff-linked ring signature. In: Barua, R., Lange, T. (eds.) INDOCRYPT 2006. LNCS, vol. 4329, pp. 364–378. Springer, Heidelberg (2006). https://doi.org/10.1007/11941378_26

    Chapter  Google Scholar 

  2. Au, M.H., Liu, J.K., Susilo, W., Yuen, T.H.: Certificate based (linkable) ring signature. In: Dawson, E., Wong, D.S. (eds.) ISPEC 2007. LNCS, vol. 4464, pp. 79–92. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-72163-5_8

    Chapter  Google Scholar 

  3. Au, M.H., Liu, J.K., Susilo, W., Yuen, T.H.: Secure ID-based linkable and revocable-iff-linked ring signature with constant-size construction. Theor. Comput. Sci. 469, 1–14 (2013)

    Article  MathSciNet  Google Scholar 

  4. Au, M.H., Liu, J.K., Susilo, W., Zhou, J.: Realizing fully secure unrestricted ID-based ring signature in the standard model based on HIBE. IEEE Trans. Inf. Forensics Secur. 8(12), 1909–1922 (2013)

    Article  Google Scholar 

  5. Au, M.H., Liu, J.K., Yuen, T.H., Wong, D.S.: ID-based ring signature scheme secure in the standard model. In: Yoshiura, H., Sakurai, K., Rannenberg, K., Murayama, Y., Kawamura, S. (eds.) IWSEC 2006. LNCS, vol. 4266, pp. 1–16. Springer, Heidelberg (2006). https://doi.org/10.1007/11908739_1

    Chapter  Google Scholar 

  6. Bender, A., Katz, J., Morselli, R.: Ring signatures: stronger definitions, and constructions without random oracles. In: Halevi, S., Rabin, T. (eds.) TCC 2006. LNCS, vol. 3876, pp. 60–79. Springer, Heidelberg (2006). https://doi.org/10.1007/11681878_4

    Chapter  Google Scholar 

  7. Boneh, D., Boyen, X., Shacham, H.: Short group signatures. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 41–55. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-28628-8_3

    Chapter  Google Scholar 

  8. Chan, T.K., Fung, K., Liu, J.K., Wei, V.K.: Blind spontaneous anonymous group signatures for Ad Hoc groups. In: Castelluccia, C., Hartenstein, H., Paar, C., Westhoff, D. (eds.) ESAS 2004. LNCS, vol. 3313, pp. 82–94. Springer, Heidelberg (2005). https://doi.org/10.1007/978-3-540-30496-8_8

    Chapter  Google Scholar 

  9. Chaum, D., van Heyst, E.: Group signatures. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 257–265. Springer, Heidelberg (1991). https://doi.org/10.1007/3-540-46416-6_22

    Chapter  Google Scholar 

  10. Chow, S.S.M., Wei, V.K., Liu, J.K., Yuen, T.H.: Ring signatures without random oracles. In: ASIACCS 2006, pp. 297–302. ACM (2006)

    Google Scholar 

  11. Dodis, Y., Kiayias, A., Nicolosi, A., Shoup, V.: Anonymous identification in Ad Hoc groups. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 609–626. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-24676-3_36

    Chapter  MATH  Google Scholar 

  12. Fleischhacker, N., Krupp, J., Malavolta, G., Schneider, J., Schröder, D., Simkin, M.: Efficient unlinkable sanitizable signatures from signatures with re-randomizable keys. In: Cheng, C.-M., Chung, K.-M., Persiano, G., Yang, B.-Y. (eds.) PKC 2016. LNCS, vol. 9614, pp. 301–330. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-49384-7_12

    Chapter  Google Scholar 

  13. Groth, J.: Simulation-sound NIZK proofs for a practical language and constant size group signatures. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 444–459. Springer, Heidelberg (2006). https://doi.org/10.1007/11935230_29

    Chapter  Google Scholar 

  14. Groth, J.: On the size of pairing-based non-interactive arguments. In: Fischlin, M., Coron, J.-S. (eds.) EUROCRYPT 2016. LNCS, vol. 9666, pp. 305–326. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-49896-5_11

    Chapter  Google Scholar 

  15. Groth, J., Kohlweiss, M.: One-out-of-many proofs: or how to leak a secret and spend a coin. In: Oswald, E., Fischlin, M. (eds.) EUROCRYPT 2015. LNCS, vol. 9057, pp. 253–280. Springer, Heidelberg (2015). https://doi.org/10.1007/978-3-662-46803-6_9

    Chapter  Google Scholar 

  16. Herranz, J., Sáez, G.: Forking lemmas for ring signature schemes. In: Johansson, T., Maitra, S. (eds.) INDOCRYPT 2003. LNCS, vol. 2904, pp. 266–279. Springer, Heidelberg (2003). https://doi.org/10.1007/978-3-540-24582-7_20

    Chapter  Google Scholar 

  17. Hofheinz, D., Kiltz, E.: Programmable hash functions and their applications. J. Cryptol. 25(3), 484–527 (2012)

    Article  MathSciNet  Google Scholar 

  18. Huang, X., et al.: Cost-effective authentic and anonymous data sharing with forward security. IEEE Trans. Comput. 64(4), 971–983 (2015)

    Article  MathSciNet  Google Scholar 

  19. Lai, R.W.F., Zhang, T., Chow, S.S.M., Schröder, D.: Efficient sanitizable signatures without random oracles. In: Askoxylakis, I., Ioannidis, S., Katsikas, S., Meadows, C. (eds.) ESORICS 2016. LNCS, vol. 9878, pp. 363–380. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-45744-4_18

    Chapter  Google Scholar 

  20. Liu, D.Y.W., Liu, J.K., Mu, Y., Susilo, W., Wong, D.S.: Revocable ring signature. J. Comput. Sci. Technol. 22(6), 785–794 (2007)

    Article  MathSciNet  Google Scholar 

  21. Liu, J.K., Au, M.H., Susilo, W., Zhou, J.: Online/offline ring signature scheme. In: Qing, S., Mitchell, C.J., Wang, G. (eds.) ICICS 2009. LNCS, vol. 5927, pp. 80–90. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-11145-7_8

    Chapter  Google Scholar 

  22. Liu, J.K., Au, M.H., Susilo, W., Zhou, J.: Linkable ring signature with unconditional anonymity. IEEE Trans. Knowl. Data Eng. 26(1), 157–165 (2014)

    Article  Google Scholar 

  23. Liu, J.K., Susilo, W., Wong, D.S.: Ring signature with designated linkability. In: Yoshiura, H., Sakurai, K., Rannenberg, K., Murayama, Y., Kawamura, S. (eds.) IWSEC 2006. LNCS, vol. 4266, pp. 104–119. Springer, Heidelberg (2006). https://doi.org/10.1007/11908739_8

    Chapter  Google Scholar 

  24. Liu, J.K., Wei, V.K., Wong, D.S.: A separable threshold ring signature scheme. In: Lim, J.-I., Lee, D.-H. (eds.) ICISC 2003. LNCS, vol. 2971, pp. 12–26. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-24691-6_2

    Chapter  Google Scholar 

  25. Liu, J.K., Wei, V.K., Wong, D.S.: Linkable spontaneous anonymous group signature for Ad Hoc groups. In: Wang, H., Pieprzyk, J., Varadharajan, V. (eds.) ACISP 2004. LNCS, vol. 3108, pp. 325–335. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-27800-9_28

    Chapter  Google Scholar 

  26. Liu, J.K., Wong, D.S.: On the security models of (threshold) ring signature schemes. In: Park, C., Chee, S. (eds.) ICISC 2004. LNCS, vol. 3506, pp. 204–217. Springer, Heidelberg (2005). https://doi.org/10.1007/11496618_16

    Chapter  Google Scholar 

  27. Liu, J.K., Wong, D.S.: Linkable ring signatures: security models and new schemes. In: Gervasi, O., et al. (eds.) ICCSA 2005. LNCS, vol. 3481, pp. 614–623. Springer, Heidelberg (2005). https://doi.org/10.1007/11424826_65

    Chapter  Google Scholar 

  28. Liu, J.K., Wong, D.S.: Enhanced security models and a generic construction approach for linkable ring signature. Int. J. Found. Comput. Sci. 17(6), 1403–1422 (2006). https://doi.org/10.1142/S0129054106004480

    Article  MathSciNet  MATH  Google Scholar 

  29. Liu, J.K., Wong, D.S.: A more efficient instantiation of witness-indistinguishable signature. I. J. Netw. Secur. 5(2), 199–204 (2007)

    Google Scholar 

  30. Liu, J.K., Wong, D.S.: Solutions to key exposure problem in ring signature. I. J. Netw. Secur. 6(2), 170–180 (2008)

    Google Scholar 

  31. Liu, J.K., Yeo, S.L., Yap, W., Chow, S.S.M., Wong, D.S., Susilo, W.: Faulty instantiations of threshold ring signature from threshold proof-of-knowledge protocol. Comput. J. 59(7), 945–954 (2016)

    Article  Google Scholar 

  32. Liu, J.K., Yuen, T.H., Zhou, J.: Forward secure ring signature without random oracles. In: Qing, S., Susilo, W., Wang, G., Liu, D. (eds.) ICICS 2011. LNCS, vol. 7043, pp. 1–14. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-25243-3_1

    Chapter  Google Scholar 

  33. Malavolta, G., Schröder, D.: Efficient ring signatures in the standard model. In: Takagi, T., Peyrin, T. (eds.) ASIACRYPT 2017. LNCS, vol. 10625, pp. 128–157. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-70697-9_5

    Chapter  MATH  Google Scholar 

  34. Nakamoto, S.: Bitcoin: a peer-to-peer electronic cash system (2008). https://bitcoin.org/bitcoin.pdf

  35. Rivest, R.L., Shamir, A., Tauman, Y.: How to leak a secret. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 552–565. Springer, Heidelberg (2001). https://doi.org/10.1007/3-540-45682-1_32

    Chapter  Google Scholar 

  36. van Saberhagen, N.: Cryptonote v 2.0 (2013). https://cryptonote.org/whitepaper.pdf

  37. Schwartz, J.T.: Fast probabilistic algorithms for verification of polynomial identities. J. ACM 27(4), 701–717 (1980)

    Article  MathSciNet  Google Scholar 

  38. Sun, S.-F., Au, M.H., Liu, J.K., Yuen, T.H.: RingCT 2.0: a compact accumulator-based (linkable ring signature) protocol for blockchain cryptocurrency monero. In: Foley, S.N., Gollmann, D., Snekkenes, E. (eds.) ESORICS 2017. LNCS, vol. 10493, pp. 456–474. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-66399-9_25

    Chapter  Google Scholar 

  39. Tsang, P.P., Au, M.H., Liu, J.K., Susilo, W., Wong, D.S.: A suite of non-pairing ID-based threshold ring signature schemes with different levels of anonymity (extended abstract). In: Heng, S.-H., Kurosawa, K. (eds.) ProvSec 2010. LNCS, vol. 6402, pp. 166–183. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-16280-0_11

    Chapter  Google Scholar 

  40. Tsang, P.P., Wei, V.K., Chan, T.K., Au, M.H., Liu, J.K., Wong, D.S.: Separable linkable threshold ring signatures. In: Canteaut, A., Viswanathan, K. (eds.) INDOCRYPT 2004. LNCS, vol. 3348, pp. 384–398. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-30556-9_30

    Chapter  Google Scholar 

  41. Wijaya, D.A., Liu, J.K., Suwarsono, D.A., Zhang, P.: A new blockchain-based value-added tax system. In: Okamoto, T., Yu, Y., Au, M.H., Li, Y. (eds.) ProvSec 2017. LNCS, vol. 10592, pp. 471–486. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-68637-0_28

    Chapter  Google Scholar 

  42. Wong, D.S., Fung, K., Liu, J.K., Wei, V.K.: On the RS-code construction of ring signature schemes and a threshold setting of RST. In: Qing, S., Gollmann, D., Zhou, J. (eds.) ICICS 2003. LNCS, vol. 2836, pp. 34–46. Springer, Heidelberg (2003). https://doi.org/10.1007/978-3-540-39927-8_4

    Chapter  Google Scholar 

  43. Yang, X., Wu, W., Liu, J.K., Chen, X.: Lightweight anonymous authentication for Ad Hoc group: a ring signature approach. In: Au, M.-H., Miyaji, A. (eds.) ProvSec 2015. LNCS, vol. 9451, pp. 215–226. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-26059-4_12

    Chapter  Google Scholar 

  44. Yuen, T.H., Liu, J.K., Au, M.H., Susilo, W., Zhou, J.: Threshold ring signature without random oracles. In: ASIACCS 2011, pp. 261–267. ACM (2011)

    Google Scholar 

  45. Yuen, T.H., Liu, J.K., Au, M.H., Susilo, W., Zhou, J.: Efficient linkable and/or threshold ring signature without random oracles. Comput. J. 56(4), 407–421 (2013)

    Article  Google Scholar 

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Acknowledgement

This work was supported by the National Natural Science Foundation of China (61702342), the Science and Technology Innovation Projects of Shenzhen (GJHZ 20160226202520268, JCYJ 20170302151321095, JCYJ 20170302145623566) and Tencent “Rhinoceros Birds” -Scientific Research Foundation for Young Teachers of Shenzhen University.

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Authors and Affiliations

  1. College of Information Engineering, Shenzhen University, Shenzhen, China

    Hao Ren, Peng Zhang & Qingchun Shentu

  2. Faculty of Information Technology, Monash University, Melbourne, Australia

    Joseph K. Liu

  3. Huawei, Singapore, Singapore

    Tsz Hon Yuen

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  1. Hao Ren
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  2. Peng Zhang
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Correspondence to Peng Zhang .

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  1. University of Aizu, Aizuwakamatsu, Japan

    Chunhua Su

  2. Meiji University, Tokyo, Japan

    Hiroaki Kikuchi

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Ren, H., Zhang, P., Shentu, Q., Liu, J.K., Yuen, T.H. (2018). Compact Ring Signature in the Standard Model for Blockchain. In: Su, C., Kikuchi, H. (eds) Information Security Practice and Experience. ISPEC 2018. Lecture Notes in Computer Science(), vol 11125. Springer, Cham. https://doi.org/10.1007/978-3-319-99807-7_4

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