Encryption and Decryption Algorithms for Plain Text and Images using Fractional Calculus
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Encryption and Decryption Algorithms for Plain Text and Images using Fractional Calculus

 eBook
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9783031206986
Veröffentl:
2023
Einband:
eBook
Seiten:
240
Autor:
Rafael Martínez-Guerra
Serie:
Synthesis Lectures on Engineering, Science, and Technology
eBook Typ:
PDF
eBook Format:
Reflowable eBook
Kopierschutz:
Digital Watermark [Social-DRM]
Sprache:
Englisch
Beschreibung:

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.

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.

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.

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