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Certificateless Proxy Authentication Scheme on Lattices Under the Background of Big Data

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Data Mining and Big Data (DMBD 2021)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1454))

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Abstract

As a special digital signature, proxy signature is becoming more and more important in electronic authentication. Compared with the insecurity of proxy signatures based on the decomposition of large integers and the difficulty of discrete logarithms, lattice-based cryptography have higher security and computational efficiency. This paper uses the pre-image sampling algorithm and trapdoor generation algorithm to construct a certificateless proxy signature scheme on lattices, and puts the scheme into the background of big data to realize authentication. The safety of the problem is proved by using the difficulty of small integer solutions on the lattices. Compared with other existing proxy signature schemes, it has low computational complexity and higher security.

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References

  1. Al-Riyami, S.S., Paterson, K.G.: International conference on the theory and application of cryptology and information security. Certificateless Cryptogr. J. 2(5), 99–110 (2016)

    Google Scholar 

  2. Blaze, M., Bleumer, G., Strauss, M.: Divertible protocols and atomic proxy cryptography. In: Nyberg, K. (ed.) EUROCRYPT 1998. LNCS, vol. 1403, pp. 127–144. Springer, Heidelberg (1998). https://doi.org/10.1007/BFb0054122

    Chapter  Google Scholar 

  3. Ateniese, G., Hohenberger, S.: Proxy re-signatures: new definitions, algorithms, and applications. In: Proceedings of ACM Conference on Computer and Communications Security, pp. 310–319. ACM (2005). https://doi.org/10.1145/1102120.1102161

  4. Lyubashevsky, V.: Lattice signatures without trapdoors. In: Pointcheval, D., Johansson, T. (eds.) EUROCRYPT 2012. LNCS, vol. 7237, pp. 738–755. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-29011-4_43

    Chapter  Google Scholar 

  5. Tian, M.M., Huang, L.S.: Certificateless and certificate-based signatures from lattices. Secur. Commun. Netw. 8(8), 1575–1586 (2015). https://doi.org/10.1002/sec.1105

    Article  Google Scholar 

  6. Tian, M.M.: Identity-based proxy re-signatures from lattices. Inf. Process. Lett. 115(4), 462–467 (2015). https://doi.org/10.1016/j.ipl.2014.12.002

    Article  MathSciNet  MATH  Google Scholar 

  7. Micciancio, D., Regev, O.: Worst-case to average-case reductions based on Gaussian measures. SIAM J. Comput. 37(1), 267–302 (2007)

    Article  MathSciNet  Google Scholar 

  8. Gentry, C., Peikert, C., Vaikuntanathan, V.: Trapdoors for hard lattices and new cryptographic constructions. In: Proceedings of the 40th ACM Symposium on Theory of Computing (STOC 2008), pp. 197–206. ACM (2008). https://doi.org/10.1145/1374376.1374407

  9. Dent, A.: A survey of certificateless encryption schemes and security models. Int. J. Inf. Secur. 7(5), 347–377 (2008). https://doi.org/10.1007/s10207-008-0055-0

    Article  Google Scholar 

  10. Zhang, F.T., Sun, Y.X., Zhang, L., Geng, M.M., Li, S.J.: Research on certificateless public key cryptography. Comput. Knowl. Technol. (15), 33, 44 (2018)

    Google Scholar 

  11. Chen, D.M.: Discussion on big data security and privacy protection based on cloud computing. Comput. Knowl. Technol. (15), 33, 44 (2018)

    Google Scholar 

  12. Xie, J.: Research on big data security and privacy protection based on cloud computing. Commun. World (02), 112 (2017)

    Google Scholar 

  13. Jiang, M.M., Hu, Y.P., Wang, B.C., et al.: Efficient proxy signature on the lattices. J. Beijing Univ. Posts Telecommun. 37(3), 89–92 (2014)

    Google Scholar 

  14. Chen, H., Hu, Y.P., Lian, Z.Z., et al.: Efficient certificateless encryption schemes from lattices. J. Softw. 27(11), 2884–2897 (2016)

    MathSciNet  MATH  Google Scholar 

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Yu, S., Cui, Y., Li, F. (2021). Certificateless Proxy Authentication Scheme on Lattices Under the Background of Big Data. In: Tan, Y., Shi, Y., Zomaya, A., Yan, H., Cai, J. (eds) Data Mining and Big Data. DMBD 2021. Communications in Computer and Information Science, vol 1454. Springer, Singapore. https://doi.org/10.1007/978-981-16-7502-7_21

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  • DOI: https://doi.org/10.1007/978-981-16-7502-7_21

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-7501-0

  • Online ISBN: 978-981-16-7502-7

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