Title :
Discrete-time chaotic encryption systems. I. Statistical design approach
Author :
Götz, Marco ; Kelber, Kristina ; Schwarz, Wolfgang
Author_Institution :
Fac. of Electr. Eng., Tech. Univ. Dresden, Germany
fDate :
10/1/1997 12:00:00 AM
Abstract :
A systematic top down design of discrete-time continuous-value coder systems for information encryption is presented. From the axioms, that the coder should be a maximally disturbed and invertible (according to the information signal) channel a general structure containing a static nonlinearity and a dynamical subsystem is derived and the system characteristics are specified. It turns out, that the encoder necessarily exhibits chaotic behavior if it satisfies the design axioms. Some examples of systems are given which belong to the designed structural class. Realizations as well as the reliability under the condition of weak disturbances are considered in Part II and a cryptographical analysis is performed in Part III of this paper
Keywords :
chaos; cryptography; discrete time systems; encoding; statistical analysis; chaotic encryption systems; discrete-time continuous-value coder systems; dynamical subsystem; encoder chaotic behavior; information encryption; static nonlinearity; statistical design; system characteristics; top down design; Chaos; Chaotic communication; Cryptography; Decoding; Fixed-point arithmetic; Galois fields; Information analysis; Performance analysis; Signal analysis; Standards development;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
