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

Volume

44

Issue

10

fYear

1997

fDate

10/1/1997 12:00:00 AM

Firstpage

963

Lastpage

970

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;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.633885

Filename

633885