Encryption and Decryption Algorithms for Plain Text and Images using Fractional Calculus
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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.
Offers an alternative to encrypt and decrypt messages using integer and fractional-order estimators or observers Includes many exercises and tips to master the subject With a chapter on a new encryption algorithm for color RGB images and text
Autor*in
Rafael Martínez-Guerra
Themen in »Encryption and Decryption Algorithms for Plain Text and Images using Fractional Calculus«
chaotic systems for secure communications synchronization of chaotic oscillators and fractals encryption and decryption algorithms cryptanalysis of plain text and images state observers and cryptography applications of Gamma and Beta functions stream cyphers and block cyphers Liouvillian systems and cryptography