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Cryptanalysis of a New Cellular Automata Cryptosystem

机译:新型细胞自动机密码系统的密码分析

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Cellular automata provide discrete deterministic mathematical models for physical, biological and computational systems. Despite their simple construction, cellular automata are shown to be capable of complicated behaviour, and to generate complex and random patterns. There have been constant efforts to exploit cellular automata for cryptography since the very beginning of the research on cellular automata. Unfortunately, most of the previous cryptosystems based on cellular automata are either insecure or inefficient. is the latest effort in cellular automata cryptosystems (CACs) design, where the affine cellular automata are combined with non-affine transformations. It is claimed that the weakness in some of the previous CACs due to affine property is removed. In this paper we show that the new CAC is still insecure. It can be broken by a chosen-plaintext attack. The attack is very efficient, requiring only hundreds of chosen plaintexts and a small computation amount. We also consider the possibility of modifying the new CAC. Our results show, however, that it is not easy to secure the scheme by minor modifications. The cryptanalysis in this paper enforces the opinion once more that the security must be very carefully analyzed in designing the cryptosystems based on some mathematical systems. We should not blindly trust the pseudo randomness brought by the available mathematical systems. The designing techniques developed by cryptographic community are always optimal.
机译:元胞自动机为物理,生物和计算系统提供离散的确定性数学模型。尽管其结构简单,但显示出细胞自动机能够进行复杂的行为,并生成复杂且随机的模式。自从对细胞自动机的研究开始以来,就一直致力于开发用于密码术的细胞自动机。不幸的是,大多数以前基于细胞自动机的密码系统要么不安全,要么效率低下。是细胞自动机密码系统(CAC)设计的最新成果,其中仿射细胞自动机与非仿射变换相结合。据称,由于仿射属性,以前的某些CAC中的弱点已被消除。在本文中,我们表明新的CAC仍然不安全。可以通过选择明文攻击将其破坏。这种攻击非常有效,只需要选择数百个纯文本,计算量就很小。我们还考虑了修改新CAC的可能性。但是,我们的结果表明,通过较小的修改来保护该方案并不容易。本文中的密码分析再次证明了在基于某些数学系统设计密码系统时必须非常仔细地分析安全性的观点。我们不应该盲目地相信可用数学系统带来的伪随机性。密码界开发的设计技术始终是最佳的。

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