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A CCA secure public key encryption scheme based on finite groups of Lie type

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References

  1. Gilmore R. Lie groups, Lie algebras, and Some of Their Applications. Massachusetts: Courier Corporation, 2012

    MATH  Google Scholar 

  2. Hall B. Lie Groups, Lie Algebras, and Representations: an Elementary Introduction. Berlin: Springer, 2015

    Book  MATH  Google Scholar 

  3. Courtois N, Klimov A, Patarin J, et al. Efficient algorithms for solving overdefined systems of multivariate polynomial equations. In: Proceeding of International Conference on the Theory and Applications of Cryptographic Techniques. Berlin: Springer, 2000. 392–407

    MATH  Google Scholar 

  4. Boneh D, Franklin M. Identity-based encryption from the Weil pairing. In: Proceeding of Annual International Cryptology Conference. Berlin: Springer, 2001. 213–229

    Google Scholar 

  5. Fujisaki E, Okamoto T. Secure integration of asymmetric and symmetric encryption schemes. In: Proceeding of Annual International Cryptology Conference. Berlin: Springer, 1999. 537–554

    MATH  Google Scholar 

  6. Menezes A J, Wu Y H. The discrete logarithm problem in GL(n, q). Ars Combinatoria, 1997, 47: 23–32

    MathSciNet  MATH  Google Scholar 

  7. Joux A. Algorithmic Cryptanalysis. Boca Raton: Chapman and Hall/CRC, 2009

    Book  MATH  Google Scholar 

  8. Joux A, Odlyzko A, Pierrot C. The past, evolving present, and future of the discrete logarithm. In: Open Problems in Mathematics and Computational Science. Berlin: Springer, 2014. 5–36

    Chapter  MATH  Google Scholar 

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Acknowledgements

This work was partially supported by the National Natural Science Foundation of China (NSFC) (Grant Nos. 61602408, 61972050, 61972352, U1709217), Zhejiang Provincial Natural Science Foundation (Grant Nos. LY19F020005, LY18F020009, LZ18F020003), and Key Research and Development Program of Hangzhou (Grant No. 20182011A46).

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Authors and Affiliations

  1. School of Computer and Information Engineering, Zhejiang Gongshang University, Hangzhou, 310018, China

    Haibo Hong, Jun Shao, Mande Xie & Guiyi Wei

  2. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Licheng Wang, Yixian Yang & Song Han

  3. Zhejiang Ponshine Information Technology Co.,Ltd., Hangzhou, 310000, China

    Jianhong Lin

Authors
  1. Haibo Hong
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  2. Jun Shao
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  3. Licheng Wang
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  4. Mande Xie
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  5. Guiyi Wei
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  6. Yixian Yang
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  7. Song Han
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  8. Jianhong Lin
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Correspondence to Haibo Hong.

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Hong, H., Shao, J., Wang, L. et al. A CCA secure public key encryption scheme based on finite groups of Lie type. Sci. China Inf. Sci. 65, 119102 (2022). https://doi.org/10.1007/s11432-019-2704-7

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  • DOI: https://doi.org/10.1007/s11432-019-2704-7

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