Decoding chaotic cryptography without access to the superkey

Vaidya, P. G.; Angadi, Savita

doi:10.1016/s0960-0779(02)00377-6

Cited by 39 publications

(19 citation statements)

References 3 publications

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“…In addition to methods based on adaptive synchronization, there are also other ways one can use to estimate the secret parameters (i.e., the key) of chaos-based cryptosystems. For instance, due to the nature of Lorenz and Chua Chaotic Systems, the secret parameters can be determined from the driving signal and its derivatives (mainly differentials of different orders) [32,105,74]. For some specific schemes, it is also possible to derive part of the secret parameters by analyzing the return maps of the master systems [65].…”

Section: Problems With the Encryption Architecturementioning

confidence: 99%

Lessons Learnt from the Cryptanalysis of Chaos-Based Ciphers

Álvarez

Amigó

Arroyo

et al. 2011

Studies in Computational Intelligence

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The idea of using chaotic transformations in cryptography is explicit in the foundational papers of Shannon on secrecy systems (e.g., [96]). Although the word "chaos" was not minted till the 1970s [71], Shannon clearly refers to this very concept when he proposes the construction of secure ciphers by means of measure-preserving, mixing maps which depend 'sensitively' on their parameters. The implementation of Shannon's intuitions had to wait till the development of Chaos Theory in the 1980s. Indeed, it was around 1990 when the first chaos-based ciphers were proposed (e.g., [78], [46]). Moreover, in 1990 chaos synchronization [91] entered the scene and shortly thereafter, the first applications to secure communications followed [56,37]. The idea is remarkably simple: mask the message with a chaotic signal and use synchronization at the receiver to filter out the chaotic signal. The realization though had to overcome the desynchronization induced by the message itself. After this initial stage, the number of proposals which exploited the properties of chaotic maps for cryptographical purposes, grew in a spectacular way.

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Section: Problems With the Encryption Architecturementioning

confidence: 99%

Lessons Learnt from the Cryptanalysis of Chaos-Based Ciphers

Álvarez

Amigó

Arroyo

et al. 2011

Studies in Computational Intelligence

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“…In the receiver equation (17), the input is s = x+m(t), and the output is x 1 . A chosen-ciphertext attack is adopted to analyze the parameters in [10].…”

Section: B the Security Against Chosen Ciphertext Attackmentioning

confidence: 99%

“…Now, we use system (4) to construct system (16) and (17), that is, let σ 1 = σ 2 . We prove that the chosen ciphertext attack can not determine the parameter vector.…”

Section: B the Security Against Chosen Ciphertext Attackmentioning

confidence: 99%

On the application of parameter identifiability to the security of chaotic synchronization

Liang

Zhang

Xia

2008

2008 7th World Congress on Intelligent Control and Automation

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We apply the concept of parameter identifiability to the security of parameters in chaos-based communication. The parameter is a good choice of the secret key if it is not identifiable. To test the parameter identifiability, we use the linear algebraic method based on differential 1-forms, which is applicable to more general systems than existing results. We analyze the identifiability of a chaotic system to illustrate this method. Finally, we use this chaotic system to construct two cryptosystems.Index Term Chaos synchronization, parameter identifiability, security of the parameter, parameter modulation, chosen ciphertext attack.

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“…Attacker can use this method break the chaos-based secure communication system [12,13]. However, it is impossible to reconstruct the hyper chaotic map.…”

Section: Introductionmentioning

confidence: 99%

A Novel Impulsive Control Scheme of Chua Chaotic Synchronization

2008

2008 International Conference on Computer Science and Information Technology

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Most chaotic synchronization control methods have some flaws which increase the security risks of the communication system. Attacker can reconstruct the chaotic system or estimate parameters by using the information of the chaotic system. In this paper, we propose a hybrid Chua chaotic synchronization control scheme which contains both continuous chaotic system and discrete chaotic system. We proved that two systems can get synchronized without control signal transmitting which has reduced the risk of the security. The chaos-based secure communication system can be designed based on our scheme.

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Decoding chaotic cryptography without access to the superkey

Cited by 39 publications

References 3 publications

Lessons Learnt from the Cryptanalysis of Chaos-Based Ciphers

Lessons Learnt from the Cryptanalysis of Chaos-Based Ciphers

On the application of parameter identifiability to the security of chaotic synchronization

A Novel Impulsive Control Scheme of Chua Chaotic Synchronization

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