Skip to main content

Application and Implementation of Multivariate Public Key Cryptosystem in Blockchain (Short Paper)

  • Conference paper
  • First Online:

Abstract

Blockchain is one of the most revolutionary and innovative technologies in recent years. The traditional asymmetric encryption algorithms guarantee the security of data on blockchain. However, with the rapid development of quantum computing technologies, as long as large-scale quantum computers appear, these kind of encryption systems can be deciphered by shor algorithm in polynomial time. Therefore, blockchain technologies are going to face potential security threats. To solve this problem, the best solution at present is to replace the asymmetric encryption algorithms in the blockchain with post-quantum cryptosystems. In this paper, we apply the Rainbow algorithm with high signature efficiency to the existing Ethereum platform, and test the feasibility of the scheme by building a private chain. In addition, we compare the signature efficiency of Rainbow algorithm with ECDSA, which is expected to provide direction and inspiration for future research on blockchain resistance to quantum computing.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Jun, Z., Zhang H.-N., Tang, Y., Li, L.: Blockchain Technical Guide. China Machine Press (2016)

    Google Scholar 

  2. Swan, M.: Blockchain: Blueprint for a New Economy. OReilly Media Inc., Sebastopol (2015)

    Google Scholar 

  3. Satoshi, N.: Bitcoin: a peer-to-peer electronic cash system (2009). http://www.bitcoin.org/pdf

  4. Ethereum White Paper. A next-generation smart contract and decentr-alized application platform (2015). http://github.com/ethereum/wik i/wiki/WhitePaper

  5. HYPERLEDGER (2016). http://www.hyperledger.org/BLOCKSTREAM

  6. Yong, Y., Fei-Yue, W.: Blockchain: the state of the art and future trends. Acta Automatica Sin. 42(4), 481–494 (2016)

    Google Scholar 

  7. Johnson, D., Menezes, A., Vanstone, S.: The elliptic curve digital signature algorithm (ECDSA). Int. J. Inf. Secur. 1(1), 36–63 (2001)

    Article  Google Scholar 

  8. Shor, P.W.: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J.Comput. 26(5), 1484–1509 (1997)

    Article  MathSciNet  Google Scholar 

  9. Divesh, A., Troy, L.: Quantum attacks on Bitcoin, and how to protect against them (2017). arXiv:1710.10377v1quant-ph

  10. Quantum-Resistant Ledger (2017). https://github.com/the QRL/QRL

  11. Chen, L., Jordan, S., Liu, Y.-K., Moody, D., Peralta, R.: NISTIR 8105 Report on Post-Quantum Cryptography, NIST, 10.6028/NIST.IR.8105 5 (2016)

    Google Scholar 

  12. Post-Quantum Cryptography Round-1-Submissions, NIST (2017). https://csrc.nist.gov/Projects/Post-Quantum-Cryptography/Round-1-Submissions

  13. Bernstein, D.J., Buchmann, J., Dahmen, E. (eds.): Post Quantum Cryptography. Springer, Heideberg (2009). https://doi.org/10.1007/978-3-540-88702-7

    Book  MATH  Google Scholar 

  14. Stark, J.: Making sense of blockchain smart contracts (2018). https://www.coindesk.com/making-sense-smart-contracts/

  15. Ding, J., Gower, J.E., Schnidt, D.S.: Multivariate Public key Cryptosystems. Advances in Information Security. Springer, Boston (2006)

    MATH  Google Scholar 

  16. Patarin, J.: The oil and vinegar signature scheme. In: Dagstuhl Workshop on Cryptography (1997)

    Google Scholar 

  17. Ding, J., Schmidt, D.: Rainbow, a new multivariable polynomial signature scheme. In: Ioannidis, J., Keromytis, A., Yung, M. (eds.) ACNS 2005. LNCS, vol. 3531, pp. 164–175. Springer, Heidelberg (2005). https://doi.org/10.1007/11496137_12

    Chapter  Google Scholar 

  18. Buterin, V.: Ethereum go-ethereum source code [EB/OL] (2018). https://github.com/ethereum/go-ethereum

  19. Petzoldt, A.: Selecting and Reducing Key Sizes for Multivariate Cryptography (2013)

    Google Scholar 

  20. Petzoldt, A., Bulygin, S., Buchmann, J.: CyclicRainbow – a multivariate signature scheme with a partially cyclic public key. In: Gong, G., Gupta, K.C. (eds.) INDOCRYPT 2010. LNCS, vol. 6498, pp. 33–48. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-17401-8_4

    Chapter  Google Scholar 

Download references

Funding

This work was supported by National Key R&D Program of China No. 2017YFB0802000.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ruping Shen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Shen, R., Xiang, H., Zhang, X., Cai, B., Xiang, T. (2019). Application and Implementation of Multivariate Public Key Cryptosystem in Blockchain (Short Paper). In: Wang, X., Gao, H., Iqbal, M., Min, G. (eds) Collaborative Computing: Networking, Applications and Worksharing. CollaborateCom 2019. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 292. Springer, Cham. https://doi.org/10.1007/978-3-030-30146-0_29

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-30146-0_29

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-30145-3

  • Online ISBN: 978-3-030-30146-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics