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An Improved McEliece Cryptosystem Based on QC-LDPC Codes

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Communications, Signal Processing, and Systems (CSPS 2019)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 571))

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Abstract

In the original McEliece cryptosystem based on QC-LDPC codes, the decoding algorithm uses BF algorithm instead of BP algorithm, which reduces the time complexity but decreases the decoding performance. To solve this problem, we improve the original algorithm and use the Q-decoder which utilizes the correlation between the error pattern e and the matrix Q, making decoding performance much better. Finally, we analyze the security of the improved cryptosystem, finding it has a higher security level.

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References

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Acknowledgements

This work was supported by the Sichuan key research and development project under Grant No. 2019YFG0105.

Author information

Authors and Affiliations

  1. National Key Laboratory of Science and Technology on Communications, UESTC, Chengdu, 611731, China

    Fan Bu, Zhiping Shi & Shujun Zhang

  2. School of Information and Communication Engineering, UESTC, Chengdu, 611731, China

    Lanjun Li

  3. Beijing Electro-Mechanical Engineering Institute, Beijing, 100074, China

    Dandi Yang

Authors
  1. Fan Bu
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  2. Zhiping Shi
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  3. Lanjun Li
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  4. Shujun Zhang
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  5. Dandi Yang
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Corresponding author

Correspondence to Zhiping Shi .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, University of Texas at Arlington, Arlington, TX, USA

    Qilian Liang

  2. College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin, China

    Wei Wang

  3. School of Information and Communication Engineering, Dalian University of Technology, Dalian, Liaoning, China

    Xin Liu

  4. School of Information Science and Technology, Dalian Maritime University, Dalian, Liaoning, China

    Zhenyu Na

  5. School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin, China

    Min Jia

  6. College of Physical and Electronic Information, Tianjin Normal University, Tianjin, China

    Baoju Zhang

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Bu, F., Shi, Z., Li, L., Zhang, S., Yang, D. (2020). An Improved McEliece Cryptosystem Based on QC-LDPC Codes. In: Liang, Q., Wang, W., Liu, X., Na, Z., Jia, M., Zhang, B. (eds) Communications, Signal Processing, and Systems. CSPS 2019. Lecture Notes in Electrical Engineering, vol 571. Springer, Singapore. https://doi.org/10.1007/978-981-13-9409-6_227

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  • DOI: https://doi.org/10.1007/978-981-13-9409-6_227

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-9408-9

  • Online ISBN: 978-981-13-9409-6

  • eBook Packages: EngineeringEngineering (R0)

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