Encryption of RGB Images by Means of a Novel Cryptosystem using Elliptic Curves and Chaos

Encryption of RGB Images using Elliptic Curves and Chaos

Authors

  • Hector Perez-Meana National Polytechnic Institute of Mexico http://orcid.org/0000-0002-7786-2050
  • Erick Hernandez-Diaz Instituto Politecnico Nacional
  • Victor Silva-Garcia Instituto Politenico Nacional

Keywords:

Chaos, elliptic curves, hybrid cryptography, image encryption, public key encryption, computer security

Abstract

In this paper, a new symmetric cryptosystem is proposed.  It will be used to carry out image encryption without compression.  The performance of proposed system was evaluated using BMP format images.  A significant contribution is the use of one elliptic curve with a zero constant to generate a schedule of 15 encryption keys after choosing a solution point of this one, every schedule encryption key will be of the same size as the image. On the other hand, by means of Chaos, it will be generated a permutation and its inverse permutation, both of which will be the same size as the image. Finally, it will be applied to the Elliptic Curve Integrated Encryption Scheme (ECIES) to accomplish the encryption keys distribution in a secure way. Due to the above, this is a hybrid scheme. The results over RGB images are presented to verify the performance of the proposed algorithm and it’s proposed a tool in order to measure randomness of encrypted images.

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Author Biographies

Hector Perez-Meana, National Polytechnic Institute of Mexico

Received the BS in Electronics Engineering form the Metropolitan University of Mexico in 1981, the MS Degree in Engineering from “The University of Electro-Communications” (UEC) from Tokio Japan in 1986 and the PhD Degree in Engineering from “The Tokyo Institute of Technology”, Tokyo, Japan in 1989.  From March 1989 to September 1991, he was a visiting researcher at the Fujitsu Laboratories Ltd., Kawasaki Japan.  

From September 1991 to February 1997 he was a Professor at the Electrical Engineering Department of the UAM Iztapalapa.  In February 1997, he joined the Graduate and Research Section of the Mechanical and Electrical Engineering School of the National Polytechnic Institute (IPN).  In 1991 he received the Best Paper Award of the IEICE, in 1999 and 2000 he received the Research Award and the Research Diploma from the National Polytechnic Institute of Mexico.  From January 1999 to August 2006 he was Coordinator of the PhD Program on Communications and Electronics of the IPN.  From August 2006 to January 2010 he was Dean of the Graduate and Research Section of the ESIME Culhuacan.  Actually he is again Dean of the Graduate and Research Section of the ESIME Culhuacan. In 1998 and 2009 he was general chair of the International Symposium on Information Theory and its Applications; and firm the IEEE Midwest Symposium on Circuit and Systems.

Until now he has been director of 25 PhD Thesis and 42 Ms Thesis.  He also is author of 206 international papers, 15 book chapters, 2 books, 370 conference papers and 10 patents,  Additionally he has 1110 citations.  His principal research interests are adaptive filters, image processing, pattern recognition, watermarking and related fields.  He is a member of the Mexican Researchers Systems with level III, Senior Member of the IEEE, Member of the IEICE and the Mexican Academy of Science.

Erick Hernandez-Diaz, Instituto Politecnico Nacional

Erick Armando Hernández-Díaz. Nació en la Ciudad de México. Obtuvo el título de Ingeniero en Computación por la Universidad Nacional Autónoma de México (UNAM) en 2015, y el grado de Maestro en Ciencias de la Tecnología de Cómputo por el Instituto Politécnico Nacional (IPN) en 2016. Actualmente es alumno del doctorado en Comunicaciones y Electrónica en la Sección de Posgrado e Investigación del Instituto Politécnico Nacional. Sus áreas de investigación son criptografía aplicada y esteganografía.

Victor Silva-Garcia, Instituto Politenico Nacional

Víctor Manuel Silva-García. recibió el grado de Maestro en Estadística por la Universidad Autónoma de Chapingo en 1981, y el grado de Doctor en Ciencias de la Computación por el Instituto Politécnico Nacional (IPN), en 2007 con Mención Honorífica. Es investigador miembro del Sistema Nacional de Investigadores, con el Nivel SNI I. Actualmente es profesor en el Centro de Innovación y Desarrollo Tecnológico en Cómputo (CIDETEC) y en la Escuela Superior de Cómputo (ESCOM), ambas del Instituto Politécnico Nacional. (IPN) en México En 2003 recibió la presea “Juan de Dios Batiz”. En 2011 obtuvo el primer lugar en el Certamen: “Premio de Ingeniería de la Cuidad de México 2011”, en la categoría “Profesionales de la Ingeniería en Sistemas Computacionales. En 2005 fue director del Centro de Innovación y Desarrollo Tecnológico en Cómputo (CIDETEC), Ha publicado más de 20 artículos en revistas indexadas y dos libros. También ha dirigido más de 20 tesis de maestría y 5 doctorales. Sus principales áreas de investigación son seguridad informática, criptografía aplicada y matemáticas aplicadas a la computación.

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Published

2020-06-04

How to Cite

Perez-Meana, H., Hernandez-Diaz, E., & Silva-Garcia, V. (2020). Encryption of RGB Images by Means of a Novel Cryptosystem using Elliptic Curves and Chaos: Encryption of RGB Images using Elliptic Curves and Chaos. IEEE Latin America Transactions, 18(8), 1407–1415. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/2395

Issue

Vol. 18 No. 8 (2020): Ordinary Issue

Section

Articles

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