论文标题

图像加密的遗传算法的随机评估:信号处理方法

Randomness Evaluation of a Genetic Algorithm for Image Encryption: A Signal Processing Approach

论文作者

Hamici, Zoubir

论文摘要

在本文中,提出了对安全图像通信的块密码的随机评估。 GFHT密码是一种遗传算法,它结合了基因融合(GF)和水平基因转移(HGT),均受细菌中抗生素耐药性的启发。对称加密密钥是由具有多层随机序列的四对染色体生成的。加密以单个块中主键代理的GF开头,然后HGT执行混淆,其中基因为像素,染色体是行和列。从图像哈希值提取的盐用于实现一次性垫(OTP)方案,因此,一个像素的修改会生成不同的加密密钥,而无需更改主密码或键。因此,实现了99%的极端雪崩效应。基于随机矩阵理论,功率谱密度,雪崩效应,2D自动相关,像素随机性测试和卡方假设测试测试的随机评估表明,加密图像采用统一的白噪声的统计行为;因此,通过实验结果验证理论模型。此外,与混沌基因密码的性能比较显示了GFHT算法的优点。

In this paper a randomness evaluation of a block cipher for secure image communication is presented. The GFHT cipher is a genetic algorithm, that combines gene fusion (GF) and horizontal gene transfer (HGT) both inspired from antibiotic resistance in bacteria. The symmetric encryption key is generated by four pairs of chromosomes with multi-layer random sequences. The encryption starts by a GF of the principal key-agent in a single block, then HGT performs obfuscation where the genes are pixels and the chromosomes are the rows and columns. A Salt extracted from the image hash-value is used to implement one-time pad (OTP) scheme, hence a modification of one pixel generates a different encryption key without changing the main passphrase or key. Therefore, an extreme avalanche effect of 99% is achieved. Randomness evaluation based on random matrix theory, power spectral density, avalanche effect, 2D auto-correlation, pixels randomness tests and chi-square hypotheses testing show that encrypted images adopt the statistical behavior of uniform white noise; hence validating the theoretical model by experimental results. Moreover, performance comparison with chaos-genetic ciphers shows the merit of the GFHT algorithm.

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