一种基于混沌序列的安全网络编码设计与分析

Analysis and Design of Network Coding Based on Chaotic Sequence

提出了一种低开销的安全网络编码方案。该方案利用混沌序列较高的随机性和对初始条件极度敏感的特性,将混沌序列与原始信源消息向量相结合,构造出"一次一密"的密码体制,从而实现该编码方案的完善保密性。该方案仅在原随机网络编码体制的基础上对信源进行了改变,中间节点保持不变,具有普遍通用性;并且在信源处仅加入一个干扰信号来保证编码方案的安全性。理论分析结果表明,在攻击者具有有限窃听能力的情况下,该安全网络编码方案可以保证完善其保密性,且发送信号的开销最小。

A minimum overhead secure network coding based on chaotic sequence was presented in this paper. Only the source needs to be modified, and intermediate nodes implement a classical distributed network code. So the proposed scheme is applied to all the linear network coding. It combines the chaotic sequence with original source information vec- tor,because of the high randomness and the sensitivity to initial state of chaotic sequence, and the presented network code is ＂One-Time Pad （OTP）＂. So the secure network coding achieves complete secrecy. This scheme requires only one noisy symbol to be embedded in the original information symbol vector to achieve complete secrecy. The theoretical a- nalysis confirms that this scheme can achieve the information-theoretic security condition and the signaling overhead to obtain complete security is minimized, while the attacker has limited wiretapping ability.