Algoritmo de Encriptación de Imágenes Utilizando el Atractor Caótico de Lorenz

Images Encryption Algorithm Using the Lorenz´s Chaotic Attractor

  • Iván Felipe Rodríguez Rodríguez Universidad Distrital Francisco José de Caldas
  • Edilma Isabel Amaya Barrera Universidad Distrital Francisco José de Caldas
  • Cesar Augusto Suarez Parra Universidad Distrital Francisco José de Caldas
  • José David Moreno Posada Universidad Distrital Francisco José de Caldas
Keywords: synchronization, chaos, images cryptography, Lorenz’s attractor. (en_US)
Keywords: sincronización, caos, criptografía de imágenes, atractor de Lorenz (es_ES)

Abstract (es_ES)

Contexto: Con el creciente volumen de  información generada en tiempo real, nuevos mecanismos son necesarios para garantizar su seguridad, evitando el acceso a personas no autorizadas. Los métodos convencionales de criptografía no son apropiados para imágenes por su debilidad a ataques estadísticos, debido a la fuerte correlación entre píxeles adyacentes y el análisis de los histogramas de gamas de colores, lo que puede ayudar a identificarlos dentro de la imagen; con este objetivo en mente, se propone un algoritmo para el cifrado de imágenes utilizando atractores caóticos.

Método: La sincronización caótica se utiliza para la gestión de la clave, la etapa de difusión se realiza mediante secuencias ergódicas generadas a partir de la solución numérica del atractor de Lorenz y la etapa de permutación se realiza con la técnica de línea de onda.

Resultados: Se probó el algoritmo propuesto utilizando un conjunto de imágenes en escala de grises, obteniendo un desempeño adecuado en seguridad y velocidad, la correlación de píxeles es casi nula y la entropía es similar a la presentada en trabajos recientes con el mismo enfoque.

Conclusiones: Los métodos caóticos son una buena alternativa para mejorar los niveles de seguridad en la criptografía de imágenes debido a sus propiedades de imprevisibilidad y sensibilidad a las condiciones iniciales. Para trabajos futuros el enfoque presentado podría aplicarse a la encriptación de imágenes a color y utilizando diferentes atractores caóticos.

Abstract (en_US)

Context: With the increasing volumes of information generated in real time, novel mechanisms area needed to ensure security so as to prevent access to unauthorized people. The conventional encryption methods are not appropriate for images, because they are prone to statistical attacks due to the strong correlation between adjacent pixels and the analysis of color gamut histograms, which can help to identify them within the image; with this aim in mind, in this paper an algorithm for image encryption using chaotic attractors is proposed.

Method: Chaotic synchronization is used for the key management, the diffusion stage is made by means of ergodic sequences generated from the numerical solution of the Lorenz’s attractor and the permutation stage is accomplished with the wave line technique.

Results: The proposed algorithm was tested using a set of gray-scale images obtaining suitable performance in segurity and speed, the pixel correlation is almost null and the entropy is similar to that presented in recent works with the same approach.

Conclusions: Chaotic methods are an alternative to improve the security levels in the cryptography of images due to their properties of unpredictability and sensitivity to the initial conditions. For future work the approach presented could be applied to the encryption of color images and using different chaotic attractors.

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How to Cite
Rodríguez Rodríguez, I. F., Amaya Barrera, E. I., Suarez Parra, C. A., & Moreno Posada, J. D. (2017). Images Encryption Algorithm Using the Lorenz´s Chaotic Attractor. Ingeniería, 22(3), 396-412. https://doi.org/10.14483/23448393.11976
Published: 2017-09-12
Section
Complex Systems

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