Design of Non-autonomous Chaotic Generalized Synchronization Based Pseudorandom Number Generator with Application in Avalanche Image Encryption

Ting Liu, L. Min
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引用次数: 4

Abstract

Based on a generalized synchronization (GS) theorem of non-autonomous discrete chaotic systems, this paper introduces a 6-dimensional non-autonomous discrete chaotic GS system. Simulations show that the trajectories of the GS system have significant characteristics of chaotic attractor. Using the GS system designs a 216 number string chaotic pseudorandom number generator (CPRNG). SP-800 randomness test showed that the CPRNG has sound pseudo randomness. Correlation analysis shows that the key space of the CPRNG is larger than 21116. Using the CPRNG and a stream encryption scheme with avalanche effect (SESAE) encrypts an RGB image with 250 × 140 pixels. The results suggest that the CPRNG is able to generate the avalanche effects which are similar to those generated via ideal CPRNGs.
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基于非自治混沌广义同步的伪随机数发生器设计及其在雪崩图像加密中的应用
基于非自治离散混沌系统的广义同步定理,提出了一种6维非自治离散混沌GS系统。仿真结果表明,GS系统的轨迹具有明显的混沌吸引子特征。利用GS系统设计了一个216位串混沌伪随机数发生器。SP-800随机性检验表明,CPRNG具有良好的伪随机性。相关分析表明,CPRNG的键空间大于21116。使用CPRNG和雪崩效应流加密方案(SESAE)对250 × 140像素的RGB图像进行加密。结果表明,CPRNG能够产生与理想CPRNG产生的雪崩效应相似的雪崩效应。
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