Abstract: Focused on the problems of extra bandwidth overhead and high computational complexity to realize secure network coding against wiretapping, a secure networking coding scheme based on double chaotic sequences was proposed. Firstly, the first-dimentional data of source information was encrypted by using Cat-Logistic sequence. Then, sparse pre-coding matrix was constructed by the encrypted data. Finally, the rest vectors were linearly and randomly mixed up with the pre-coding matrix, realizing anti-wiretapping. Compared with the traditional Secure Practical netwOrk Coding (SPOC) scheme, the proposed scheme does not indroduce extra source coding redundancy by constructing sparse pre-coding matrix, reducing bandwidth overhead. The theoretical analysis and experimental results show that the proposed scheme not only has lower coding complexity but also improves network security and the transmission efficiency.

Key words: network coding, anti-wiretapping, chaotic sequence, pre-coding matrix, sparse matrix

摘要： 针对抗窃听安全网络编码中引入额外带宽开销且计算复杂度高的问题，提出了一种基于双混沌序列的加密方案。首先，通过Cat-Logistic混沌序列对信源消息的第一维数据进行加密；然后，利用加密后的数据构造出稀疏预编码矩阵。最后，通过预编码矩阵对剩余的明文向量进行线性随机混合，从而达到对抗窃听的目的。与安全实用网络编码（SPOC）方案相比，该方案通过信源消息构造稀疏预编码矩阵没有引入额外信源编码冗余，降低了带宽开销。理论分析和实验结果表明，该方案降低了编码复杂度，提高了传输效率，有效增强网络安全性和传输效率。

关键词: 网络编码, 抗窃听, 混沌序列, 预编码矩阵, 稀疏矩阵