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An Image Encryption Scheme Synchronizing Optimized Chaotic Systems Implemented on Raspberry Pis

Author

Listed:
  • Omar Guillén-Fernández

    (Department of Electronics, INAOE, Puebla 72840, Mexico)

  • Esteban Tlelo-Cuautle

    (Department of Electronics, INAOE, Puebla 72840, Mexico)

  • Luis Gerardo de la Fraga

    (Computer Science Department, CINVESTAV, Av. IPN 2508, Mexico City 07360, Mexico)

  • Yuma Sandoval-Ibarra

    (Departamento de Posgrado, Universidad Politécnica de Lázaro Cárdenas, Michoacán, Km 1+564 Carretera La Orilla-La Mira s/n, Col. 5 de Mayo, Lázaro Cárdenas 60950, Mexico)

  • Jose-Cruz Nuñez-Perez

    (Instituto Politécnico Nacional, IPN-CITEDI, Av. Instituto Politécnico Nacional No. 1310, Tijuana 22435, Mexico)

Abstract

Guaranteeing security in information exchange is a challenge in public networks, such as in the highly popular application layer Message Queue Telemetry Transport (MQTT) protocol. On the one hand, chaos generators have shown their usefulness in masking data that can be recovered while having the appropriate binary string. Privacy can then be accomplished by implementing synchronization techniques to connect the transmitter and receiver, among millions of users, to encrypt and decrypt data having the correct public key. On the other hand, chaotic binary sequences can be generated on Rapsberry Pis that can be connected over MQTT. To provide privacy and security, the transmitter and receiver (among millions of devices) can be synchronized to have the same chaotic public key to encrypt and decrypt data. In this manner, this paper shows the implementation of optimized chaos generators on Raspberry Pis that are wirelessly connected via MQTT for the IoT protocol. The publisher encrypts data that are public to millions of interconnected devices, but the data are decrypted by the subscribers having the correct chaotic binary sequence. The image encryption system is tested by performing NIST, TestU01, NPCR, UACI and other statistical analyses.

Suggested Citation

  • Omar Guillén-Fernández & Esteban Tlelo-Cuautle & Luis Gerardo de la Fraga & Yuma Sandoval-Ibarra & Jose-Cruz Nuñez-Perez, 2022. "An Image Encryption Scheme Synchronizing Optimized Chaotic Systems Implemented on Raspberry Pis," Mathematics, MDPI, vol. 10(11), pages 1-23, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1907-:d:830587
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    References listed on IDEAS

    as
    1. Chen, Xiangyong & Park, Ju H. & Cao, Jinde & Qiu, Jianlong, 2017. "Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbances," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 161-173.
    2. Zhou, Shuang & Wang, Xingyuan & Wang, Mingxu & Zhang, Yingqian, 2020. "Simple colour image cryptosystem with very high level of security," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Yassine Bouteraa & Javad Mostafaee & Mourad Kchaou & Rabeh Abbassi & Houssem Jerbi & Saleh Mobayen, 2022. "A New Simple Chaotic System with One Nonlinear Term," Mathematics, MDPI, vol. 10(22), pages 1-17, November.
    2. Martínez-Fuentes, Oscar & Díaz-Muñoz, Jonathan Daniel & Muñoz-Vázquez, Aldo Jonathan & Tlelo-Cuautle, Esteban & Fernández-Anaya, Guillermo & Cruz-Vega, Israel, 2024. "Family of controllers for predefined-time synchronization of Lorenz-type systems and the Raspberry Pi-based implementation," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).

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