基于LDPC码的安全可靠通信方法研究

Research on Secure and Reliable Communications Method Based on LDPC Codes

  • 摘要: LDPC码是一类由校验矩阵确定的线性分组码,具有逼近香农限的纠错能力。该文基于纠错码的对称密码体制以及性能等价编码矩阵提出了一类基于LDPC码的安全通信方法,该方法在几乎不改变通信可靠性的情况下,极大地提高了系统的抗截获能力。编码矩阵可以使线性分组码的生成矩阵或校验矩阵。该文通过构造大量性能等价的编码矩阵,以及通信时收发双方同时随机改变编码矩阵的方法来提高通信系统的抗截获能力。另外,由于这些性能等价的编码矩阵产生的LDPC码不仅具有相同的编码参数和可靠性,而且具有非常强的纠错能力,因此该方案是一种安全可靠的一体化通信方法。

     

    Abstract: Low-density parity-check (LDPC) codes are a class of linear block codes defined by the check matrix, which have the error-correcting capability of approaching Shannon limit. Based on the symmetric cryptosystem with error correcting codes as well as performance equivalent coding matrix, this paper proposes a secure communication method based on LDPC codes. This method greatly improves the anti-intercept capability of system and keeps the reliability almost unchanged by constructing a large number of performance equivalent coding matrixes and by simultaneously and randomly shifting the coding matrixes by the sender and receiver. Thus the proposed method has better error-correcting capability and can be applied as a secure and reliable integrated communication solution.

     

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