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Encryption and Decryption Algorithms for Plain Text and Images using Fractional Calculus [electronic resource] / by Rafael Martínez-Guerra, Juan Javier Montesinos-García, Juan Pablo Flores-Flores.

By: Martínez-Guerra, Rafael [author.].
Contributor(s): Montesinos-García, Juan Javier [author.] | Flores-Flores, Juan Pablo [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Synthesis Lectures on Engineering, Science, and Technology: Publisher: Cham : Springer Nature Switzerland : Imprint: Springer, 2023Edition: 1st ed. 2023.Description: XVIII, 240 p. 1 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783031206986.Subject(s): Data protection | Quantum communication | Dynamical systems | Data and Information Security | Quantum Communications and Cryptography | Dynamical SystemsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 005.8 Online resources: Click here to access online
Contents:
Introduction -- Synchronization of Chaotic Systems -- Stream cyphers and block cyphers -- Liouvillian Systems and Cryptography -- State Observers and Cryptography -- Fractional systems -- Fractional-order Liouvillian systems and encryption -- Fractional-order robust state observers and encryption -- Secure Communications by using Atangana-Baleanu fractional derivative -- Conclusion.
In: Springer Nature eBookSummary: This book offers an alternative for encrypting and decrypting messages using objects called integer and fractional-order estimators or observers, by means of security codes. The authors first establish the class of observers capable of carrying out this work. Then, the type of observers to treat either the integer or fractional order type and their main characteristics is mentioned. The book also presents an essential property of some systems such as Liouville, which is vital for the encryption and decryption of messages in integer and fractional order nonlinear systems by using the synchronization property of chaotic systems. Finally, it addresses some logistic maps such as Mandelbrot sets including Julia and fractal sets, taking advantage of their characteristics to encrypt or recover messages.
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Introduction -- Synchronization of Chaotic Systems -- Stream cyphers and block cyphers -- Liouvillian Systems and Cryptography -- State Observers and Cryptography -- Fractional systems -- Fractional-order Liouvillian systems and encryption -- Fractional-order robust state observers and encryption -- Secure Communications by using Atangana-Baleanu fractional derivative -- Conclusion.

This book offers an alternative for encrypting and decrypting messages using objects called integer and fractional-order estimators or observers, by means of security codes. The authors first establish the class of observers capable of carrying out this work. Then, the type of observers to treat either the integer or fractional order type and their main characteristics is mentioned. The book also presents an essential property of some systems such as Liouville, which is vital for the encryption and decryption of messages in integer and fractional order nonlinear systems by using the synchronization property of chaotic systems. Finally, it addresses some logistic maps such as Mandelbrot sets including Julia and fractal sets, taking advantage of their characteristics to encrypt or recover messages.

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