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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Secure Communication Based on Chaotic Cipher and Chaos Synchronization

Discontinuity, Nonlinearity, and Complexity 1(1) (2012) 57--68 | DOI:10.5890/DNC.2012.02.003

Maricela Jiménez-Rodríguez$^{1}$,$^{2}$, Rider Jaimes-Reategui$^{2}$, Alexander N. Pisarchik$^{3}$

$^{1}$ Centro Universitario de la Ciénega, Universidad de Guadalajara, Av. Universidad 1115, Lindavista, Ocotlán, Jalisco, Mexico

$^{2}$ Centro Universitario de Los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Paseo de la Motaña, Lagos de Moreno, Jalisco, Mexico

$^{3}$ Centro de Investigaciones en Optica, Loma del Bosque 115, Lomas del Campestre, Leon, Guanajuato, 37150, Mexico

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We proposed a secure communication system, which combines two different techniques of chaotic cryptography: chaotic cipher based on the logistic map for information diffusion, and chaos synchronization of two coupled R¨ossler oscillators for information confusion. The system contains two channels, one for synchronization and another for information transmission. Using the chaotic logistic map, a message is encrypted into one of the variables of the R¨ossler oscillator in the transmitter and sent to the receiver via the communication channel, while the Rössler oscillators are synchronized via the synchronization channel by another variable. Due to excellent confusion and diffusion properties, both exploiting important properties of chaos, the proposed communication system is extremely secure and fast enough to provide communication in real time.


The authors acknowledge the support from PROMEP-SEP (PROMEP/103.5/10/5818) and CONACYT (project No. 100429) (Mexico).


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