Nonlinear Dynamics

, Volume 93, Issue 3, pp 1149–1163 | Cite as

A joint encryption and error correction scheme based on chaos and LDPC

  • Jie Liu
  • Xiaojun Tong
  • Yang Liu
  • Miao Zhang
  • Jing Ma
Original Paper


Although some cryptosystems based on error correction code have been presented, the security and efficiency must be overcome before it can be realized. In this paper, a novel method of combined encryption and error correction based on hyperchaotic system and lower-density parity check (LDPC) code is proposed to provide both of the security and efficiency. The proposed system adopts a pseudorandom sequence generator based on hyperchaotic system for scrambling the plaintext and constructing the dynamic permutation box. The message is encoded by the LDPC encoder after it was scrambled and then encrypted by the permutation box. Different permutation patterns generated for different message blocks help to provide high security, while the encoder helps to provide capacity of error correction. MATLAB simulations reveal that the proposed scheme is more secure and effective than the existing joint encryption and error correction coding scheme. Moreover, the full error correction ability of LDPC is kept without confliction. So, the proposed scheme is suitable for secure communication system.


Cryptosystem Error correction Hyperchaotic LDPC code 



This work was supported by the Foundation of Science and Technology on Information Assurance Laboratory (No. KJ-17-004), 2017 Weihai University Co-construction Project.

Compliance with ethical standards

Conflicts of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  • Jie Liu
    • 1
    • 2
  • Xiaojun Tong
    • 1
  • Yang Liu
    • 1
  • Miao Zhang
    • 1
  • Jing Ma
    • 3
  1. 1.School of Computer Science and TechnologyHarbin Institute of TechnologyWeihaiChina
  2. 2.School of RongchengHarbin University of Science and TechnologyRongchengChina
  3. 3.Science and Technology on Information Assurance LaboratoryBeijingChina

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