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Chaotic Map Cryptography and Security (pp.301-332) $100.00
Authors:  (Alexander N. Pisarchik, Massimiliano Zanin, Centro de Investigaciones en Optica, Loma del Bosque, Leon, Guanajuato, Mexico, and others)
In the last decade, chaos has emerged as a new promising candidate for cryptography
because many chaos fundamental characteristics such as a broadband spectrum,
ergodicity, and high sensitivity to initial conditions are directly connected with two
basic properties of good ciphers: confusion and diffusion. In this chapter we recount
some of the saga undergone by this field; we review the main achievements in the
field of chaotic cryptography, starting with the definition of chaotic systems and their
properties and the difficulties it has to outwit. According to their intrinsic dynamics,
chaotic cryptosystems are classified depending on whether the system is discrete or
continuous. Due to their simplicity and rapidity the discrete chaotic systems based
on iterative maps have received a lot of attention. In spite of the significant achievements
accomplished in this field, there are still many problems, basically speed, that
restrict the application of existing encoding/decoding algorithms to real systems. The
major advantages and drawbacks of the most popular chaotic map ciphers in terms of
security and computational cost are analyzed. The most significant cryptanalytic techniques
are considered and applied for testing the security of some chaotic algorithms.
Finally, future trends in the development of this topic are discussed. 

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Chaotic Map Cryptography and Security (pp.301-332)