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Efficient Asynchronous Accumulators for Distributed PKI

  • Leonid Reyzin
  • Sophia YakoubovEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9841)

Abstract

Cryptographic accumulators are a tool for compact set representation and secure set membership proofs. When an element is added to a set by means of an accumulator, a membership witness is generated. This witness can later be used to prove the membership of the element. Typically, the membership witness has to be synchronized with the accumulator value: it has to be updated every time another element is added to the accumulator, and it cannot be used with outdated accumulator values. However, in many distributed applications (such as blockchain-based public key infrastructures), requiring strict synchronization is prohibitive. We define low update frequency, which means that a witness only needs to be updated a small number of times, and old-accumulator compatibility, which means that a witness can be used with outdated accumulator values. Finally, we propose an accumulator that achieves both of those properties.

Keyword

Cryptographic accumulators 

Notes

Acknowledgements

This research is supported, in part, by US NSF grants CNS-1012910, CNS-1012798, and CNS-1422965. Leonid Reyzin gratefully acknowledges the hospitality of IST Austria and École normale supérieure, where part of this work was performed.

The authors would like to thank Dimitris Papadopoulos and Foteini Baldimtsi for their insightful feedback.

Supplementary material

References

  1. 1.
    Au, M.H., Tsang, P.P., Susilo, W., Mu, Y.: Dynamic universal accumulators for DDH groups and their application to attribute-based anonymous credential systems. In: Fischlin, M. (ed.) CT-RSA 2009. LNCS, vol. 5473, pp. 295–308. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  2. 2.
    Barić, N., Pfitzmann, B.: Collision-free accumulators and fail-stop signature schemes without trees. In: Fumy, W. (ed.) EUROCRYPT 1997. LNCS, vol. 1233, pp. 480–494. Springer, Heidelberg (1997)CrossRefGoogle Scholar
  3. 3.
    Benaloh, J.C., de Mare, M.: One-way accumulators: a decentralized alternative to digital signatures. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 274–285. Springer, Heidelberg (1994)CrossRefGoogle Scholar
  4. 4.
    Buldas, A., Laud, P., Lipmaa, H.: Accountable certificate management using undeniable attestations. In: Proceedings of the 7th ACM Conference on Computer and Communications Security, CCS 2000, pp. 9–17. ACM, New York (2000)Google Scholar
  5. 5.
    Buldas, A., Laud, P., Lipmaa, H.: Eliminating counterevidence with applications to accountable certificate management. J. Comput. Secur. 10(3), 273–296 (2002)CrossRefGoogle Scholar
  6. 6.
    Camacho, P.: On the impossibility of batch update for cryptographic accumulators. Cryptology ePrint Archive, Report 2009/612 (2009)Google Scholar
  7. 7.
    Camacho, P., Hevia, A., Kiwi, M., Opazo, R.: Strong accumulators from collision-resistant hashing. In: Wu, T.-C., Lei, C.-L., Rijmen, V., Lee, D.-T. (eds.) ISC 2008. LNCS, vol. 5222, pp. 471–486. Springer, Heidelberg (2008)CrossRefGoogle Scholar
  8. 8.
    Camenisch, J.L., Lysyanskaya, A.: Dynamic accumulators and application to efficient revocation of anonymous credentials. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 61–76. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  9. 9.
    Crosby, S.A., Wallach, D.S.: Efficient data structures for tamper-evident logging. In: Proceedings of the 18th Conference on USENIX Security Symposium, SSYM 2009, pp. 317–334. USENIX Association, Berkeley (2009)Google Scholar
  10. 10.
    Damgrd, I., Triandopoulos, N.: Supporting non-membership proofs with bilinear-map accumulators. Cryptology ePrint Archive, Report 2008/538 (2008)Google Scholar
  11. 11.
    Derler, D., Hanser, C., Slamanig, D.: Revisiting cryptographic accumulators, additional properties and relations to other primitives. In: Nyberg, K. (ed.) CT-RSA 2015. LNCS, vol. 9048, pp. 127–144. Springer, Heidelberg (2015)Google Scholar
  12. 12.
    Fazio, N., Nicolosi, A.: Cryptographic accumulators: definitions, constructions and applications (2003)Google Scholar
  13. 13.
    Garman, C., Green, M., Miers, I.: Decentralized anonymous credentials. In: 21st Annual Network and Distributed System Security Symposium, NDSS 2014, San Diego, California, USA, 23–26 February 2014Google Scholar
  14. 14.
    Li, J., Li, N., Xue, R.: Universal accumulators with efficient nonmembership proofs. In: Katz, J., Yung, M. (eds.) ACNS 2007. LNCS, vol. 4521, pp. 253–269. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  15. 15.
    Merkle, R.C.: A certified digital signature. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 218–238. Springer, Heidelberg (1990)Google Scholar
  16. 16.
    Nakamoto, S.: Bitcoin: a peer-to-peer electronic cash system (2008)Google Scholar
  17. 17.
  18. 18.
    Nguyen, L.: Accumulators from bilinear pairings and applications. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol. 3376, pp. 275–292. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  19. 19.
    Reyzin, L., Yakoubov, S.: Efficient asynchronous accumulators for distributed PKI. Cryptology ePrint Archive, Report 2015/718 (2015). http://eprint.iacr.org/
  20. 20.
    Sander, T.: Efficient accumulators without trapdoor extended abstract. In: Varadharajan, V., Mu, Y. (eds.) ICICS 1999. LNCS, vol. 1726, pp. 252–262. Springer, Heidelberg (1999)CrossRefGoogle Scholar
  21. 21.
    Slepak, G.: Dnschain + okturtles (2013). http://okturtles.com/other/dnschain_okturtles_overview.pdf
  22. 22.
    Yakoubov, S., Fromknecht, C., Velicanu, D.: Certcoin: a namecoin based decentralized authentication system (2014)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Boston UniversityBostonUSA

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