By Ljupco Kocarev, Shiguo Lian
Chaos-based cryptography, attracting many researchers long ago decade, is a study box throughout fields, i.e., chaos (nonlinear dynamic method) and cryptography (computer and information security). It Chaos' houses, corresponding to randomness and ergodicity, were proved to be appropriate for designing the skill for information protection.
The ebook supplies an intensive description of chaos-based cryptography, which is composed of chaos easy conception, chaos homes appropriate for cryptography, chaos-based cryptographic innovations, and numerous safe functions in keeping with chaos. also, it covers either the newest learn effects and a few open concerns or scorching themes.
The ebook creates a suite of top of the range chapters contributed by way of prime specialists within the similar fields. It embraces a large choice of points of the comparable topic components and supply a scientifically and scholarly sound remedy of state of the art ideas to scholars, researchers, lecturers, group of workers of legislation enforcement and IT practitioners who're or keen on the learn, learn, use, layout and improvement of concepts with regards to chaos-based cryptography.
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Extra info for Chaos-based Cryptography: Theory, Algorithms and Applications (Studies in Computational Intelligence)
The authors of  used two well-known chaotic maps, exponential and logistic, to construct a class of block encryption algorithms. In , they analytically derived the lower bound of a number of active S-boxes in their algorithms, computed upper bounds for differential and linear probabilities, and therefore, proved the resistance of the algorithms proposed  to differential and linear attacks. Masuda and Aihara  considered a discrete version of the skew-tent map, which exploits important chaotic properties such as the sensitive dependence on initial conditions and the exponential information decay.
2. Recovers M by computing M = X /Ts·r (x). 36 I. Mishkovski and L. 2 Correctness of the Cryptosystem The algorithm is correct due to the semi-group property of the Chebyshev polynomials. Indeed, encryption provides: X = M · Tr (Ts (x)). Since Chebyshev polynomials commute under composition, it follows that X = M · Ts (Tr (x)). Therefore M = X /Ts·r (x). 3 Implementation Both encryption and decryption involve the evaluation of Chebyshev polynomials. If we evaluate Chebyshev polynomials directly, applying the recursive definition, then the computation of Tn (x) takes linear time in n.
Adleman, is based on the intractability of the integer factorization problem. In the Rabin public-key encryption scheme, the problem faced by a passive adversary is computationally equivalent to factoring. The security of the ElGamal public-key system is based on the intractability of the discrete logarithm problem. Public-key encryption schemes are typically substantially slower than symmetric-key encryption algorithms. For this reason, public-key encryption is most commonly used in practice for encryption of small data items and/or for transport of keys, subsequently used for data encryption by symmetric-key algorithms.