Double Encryption Method Based on Neural Network and Composite Discrete Chaotic System
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摘要:
正交频分复用(OFDM)已被广泛应用于无线通信系统，其数据传输安全具有一定的实际意义。该文提出了一种双重加密方案，采用神经网络生成置乱矩阵实现第1次加密，通过基于Logistic映射与Sine映射的复合离散混沌系统产生的混沌序列进行第2次加密。该双重加密方案极大提升了OFDM通信系统的保密性，可以有效地防止暴力攻击。相比于单一的1维Logistic映射的混沌系统，基于Logistic映射与Sine映射的复合离散混沌系统具有更大的密钥空间。该文运用Lyapunov指数与NIST测试验证了该混沌系统的混沌特性及随机性，并仿真验证了双重加密方案的保密性能。仿真结果表明，该文所提出的加密方案密钥空间为4×1093，Lyapunov指数提高到0.9850，NIST测试中最大P值为0.9995。该双重加密方案可在不影响传输性能下极大提升OFDM通信系统的安全性。
Abstract:Orthogonal Frequency Division Multiplexing(OFDM) is widely used in wireless communication systems, and its data transmission security has certain practical significance. A double encryption scheme is proposed which enhances the confidentiality of the OFDM communication system and can prevent brute force attacks significantly. Specifically, the first encryption is achieved by using neural network to generate the scrambling matrix, and the second encryption is implemented by chaotic sequence generating by composite discrete chaotic system based on Logistic mapping and Sine mapping. Moreover, it has larger secret key space compared with the single one-dimensional Logistic mapping chaotic system. The performance of double encryption is measured by verifying its chaotic characteristics and randomness (Lyapunov exponent and NIST) as well as its security performance in simulation. The results show that Lyapunov index is increased to 0.9850, and the maximum P-value in the NIST test is 0.9995 by using the proposed double encryption in this paper. It indicates such double encryption significantly improve the confidentiality of the OFDM communication system without affecting the transmission performance.
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表 2 NIST测试结果
序号 测试项目 P 值 测试结果 1 Frequency 0.7188 Success 2 Block Frequency 0.3721 Success 3 Cumulative Sums 0.5153 Success 4 Runs 0.9995 Success 5 Longest Run of Ones 0.6147 Success 6 Rank 0.8624 Success 7 Discrete Fourier Transform 0.9268 Success 8 Nonperiodic Template Matchings 0.9889 Success 9 Overlapping Template Matchings 0.7125 Success 10 Universal Statistical 0.6124 Success 11 Approximate Entropy 0.1522 Success 12 Random Excursions 0.4998 Success 13 Random Excurisions Variant 0.3114 Success 14 Serial 0.2962 Success 15 Linear Complexity 0.9855 Success 
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