Public Key Cryptography: A Dynamical Systems Perspective

Author

Schmitz, Roland

Author_Institution

Dept. of Comput. Sci. & Media, Stuttgart Media Univ., Stuttgart

fYear

2008

fDate

25-31 Aug. 2008

Firstpage

209

Lastpage

212

Abstract

The well-known Diffie-Hellman Key Exchange Protocol and the RSA cryptosystem are investigated from a different viewpoint than usual. Using the recently defined concept of a discretely chaotic dynamical system, we show that the security of theses cryptosystems, when interpreted as dynamical systems, relies on the discrete chaoticity of their orbits. Algebraic requirements on the parameters are translated into statements about the period lengths of the orbits.

Keywords

chaos; cryptographic protocols; public key cryptography; Diffie-Hellman Key Exchange Protocol; RSA cryptosystem; cryptosystems; discrete orbit chaoticity; discretely chaotic dynamical system; dynamical systems; public key cryptography; Chaos; Computer science; Computer security; Cryptographic protocols; Elliptic curve cryptography; Extraterrestrial measurements; Information security; Orbits; Public key; Public key cryptography; Discrete Chaos; Dynamical Systems; Public Key Cryptography;

fLanguage

English

Publisher

ieee

Conference_Titel

Emerging Security Information, Systems and Technologies, 2008. SECURWARE '08. Second International Conference on

Conference_Location

Cap Esterel

Print_ISBN

978-0-7695-3329-2

Electronic_ISBN

978-0-7695-3329-2

Type

conf

DOI

10.1109/SECURWARE.2008.29

Filename

4622584

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2809442