This chapter presents new possibilities for a design of chaotic cryptosystems on the basis of paradigms of continuous and discrete chaotic maps. The most promising are discrete chaotic maps that enable one to design stream ciphers and block ciphers similar to conventional ones. This is the result of the fact that discrete-time dynamic chaotic systems naturally enable one to hide relations between final and initial states. These properties are very similar to the requirements for stream ciphers and block ciphers; therefore, they enable one to design complete ciphers or their components.
Financed by the National Centre for Research and Development under grant No. SP/I/1/77065/10 by the strategic scientific research and experimental development program:
SYNAT - “Interdisciplinary System for Interactive Scientific and Scientific-Technical Information”.