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

Rafael Martinez-Guerra, Martinez-Guerra,Juan Javier Montesinos-Garcia, Montesinos-Garcia,Juan Pablo Flores-Flores, Flores-Flores

ISBN 10: 3031206991 ISBN 13: 9783031206993

Published by Springer Nature B.V., 2023

Language: English

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Bibliographic Details

Title

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

Publisher

Springer Nature B.V.

Publication Date

2023

Language

English

ISBN 10

3031206991

ISBN 13

9783031206993

Binding

PAP

Condition

New

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Synopsis

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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