Article details

Title: Hybrid Encryption System Based on Chaotic One-Dimensional Map
Author(s): Ana-Cristina Dăscălescu   Radu Boriga            

Abstract: In the latest years, the chaotic cryptography has been widely investigated. This paperwork reviews the progress in this field and points out some existent problems in digital chaotic cryptosystems, like the predictability of the generated values using the orbits of a single dynamical system and the small space of the keys. As a solution to these problems, a new cryptosystem based on a couple of random composed tent maps is presented, along with an exhaustive analysis of its performances, which proves its high level of security.

Keywords: chaotic cryptography, cryptosystem, tent map, composed maps, encryption, decryption.

References:

[1] A. ŞERBĂNESCU, C.I. RÎNCU – Systèmes et signaux face au chaos: Applications aux communications, Editions de l’Académie Technique Militaire, Bucarest, Roumanie, 2008
[2] A.C. DĂSCĂLESCU – Hybrid Encryption System Based on Chaotic One-Dimensional Maps, Ph.D. Thesis, University of Piteşti, Piteşti, Romania, 2011 (in Romanian)
[3] A. FOG – Chaotic Random Number Generators with Random Cycle Lengths, http://www.agner.org/random/theory/chaosran.pdf, Dec. 2000
[4] R. BORIGA, A.C. DĂSCĂLESCU – A Method for Increasing the Randomness of Lagged Fibonacci Generators, Ovidius University Annals: Economic Sciences Series, Vol. 10, No. 2, pp. 51-55, 2010
[5] C. RĂCUCIU, D. GRECU, R. BORIGA, A.C. DĂSCĂLESCU – Analysis of a Pseudorandom Number Generator with Random Cycles, MegaByte, Vol. 6, No. 2, pp. 95-100, 2010
[6] A.C. DĂSCĂLESCU – A New Method to Improve the Safety and the Randomness of a Pseudorandom Bit Generator Based on a Chaotic Map, MegaByte, Vol. 7, No. 1, 2011
[7] A. RUKHIN, J. SOTO et al. – A Statistical Test Suite for the Validation of Random Number Generators and Pseudo Random Number Generators for Cryptographic Applications, NIST Special Publ! ication 800-22, Revision 1a, National Institute of Standards and Technology, Apr. 2010
[8] C.E. SHANNON – Communication Theory of Secrecy Systems, Bell System Technical Journal, Vol. 28, No. 4, pp. 656-715, Oct. 1949
[9] C.I. RÎNCU – Applications of Chaotic Dynamical Systems in Cryptography, Military Technical Academy Publishing House, Bucharest, Romania, 2009 (in Romanian)