Titlebook: Chaos-based Cryptography; Theory, Algorithms a Ljupco Kocarev,Shiguo Lian Book 2011 Springer Berlin Heidelberg 2011 Chaos-based Cryptograph

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Martingale Theory - Potential Theory,rom a theoretical point of view, due to their deterministic nature, PRNGs are potentially predictable by observing their generated sequences [8, 9, 10, 1]. Nevertheless, in literature some families of PRNGs are classified to be ‘secure’, meaning that their algorithmic structure involves calculations

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On a Unified Characterization of Capacity, high-dimensional chaotic maps and their dynamical characteristics are studied. As reflected by the statistical results, strong mixing nature is acquired and these high-dimensional chaotic maps are ready for various cryptographic usages. Firstly, it is used as a simple but effective post-processing

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Admissible superharmonic functions,pical chaos-based hash functions are described. Finally, by borrowing some principles from classical Cryptography, we summarize some instructions on chaos-based hash function secure construction which is beneficial to the hash function design based on chaos in the future.

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,Das ?konomische Ph?nomen Goodwill,adigm. The model of .’s numerical method to resolve . chaotic system requirements used as key generator for data encryption applications is detailed. This chapter describes this approach and presents a case study where the . chaotic system is implemented on a . Chip.

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,Das ?konomische Ph?nomen Goodwill,rized and eavesdropping receivers are discussed. Finally, ultra-fast physical random number generators based on chaotic optical signals, as well as the potential of exploiting them in secure communication systems, are investigated.

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Potential Theory: Copenhagen 1979ctive way for information security, has been employed in many practical applications[1][2][3]. However, traditional ciphers like DES [4], IDEA [5], RSA[6] and AES[7], are often used for text or binary data, while not suitable for direct video encryption because of the following reasons.

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,C?nes de Potentiels et Noyaux Subordonnés,ke algorithms when using Chebyshev polynomials on integer numbers are secure as the aforementioned encryption algorithms. The chaos-based cryptography is discussed from a point of view which we believe is closer to the spirit of both cryptography and chaos theory than the way the subject has been treated recently by many researchers.