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Adaptable cryptosystem that employs chaotic mathematical models
Criptosistema adaptable que emplea modelos matemáticos caóticos
DOI:
https://doi.org/10.15446/dyna.v93n242.125471Palabras clave:
cryptography, chaos, statistical analysis (en)criptografía, caos, análisis estadístico (es)
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It is essential to encrypt files to protect them, with the purpose that only the users with the required decryption keys can visualize or handle them. This research proposes a new encryption method that implements the tent, sine, and logistic chaotic systems, employing eight keys corresponding to the parameters of the discrete systems and another four keys of variable length for the constant modification of the parameters of the mathematical models. Additionally, the use of variable keys makes it significantly more difficult for an unauthorized user to decrypt the data or detect the keys employed for encryption. To verify the sturdiness of the cryptosystem, a series of tests were carried out on the encryption system through the deployment of histograms, correlation diagrams, the NPCR, the UACI, entropy, the avalanche effect and the key sensitivity, obtaining excellent results.
Es importante cifrar los archivos para protegerlos, con el fin de que solo los usuarios con las claves de descifrado requeridas puedan visualizarlos o manejarlos. Esta investigación propone un nuevo método de cifrado que implementa los sistemas caóticos Tent, Sine y logístico, empleando ocho claves correspondientes a los parámetros de los sistemas discretos y otras cuatro claves de longitud variable para la modificación constante de los parámetros de los modelos matemáticos. Además, el uso de claves variables dificulta significativamente que un usuario no autorizado descifre los datos o detecte las claves empleadas para el cifrado. Para verificar la robustez del criptosistema, se realizó una serie de pruebas en el sistema de cifrado mediante el despliegue de histogramas, diagramas de correlación, el NPCR, el UACI, la entropía, el efecto de avalancha y la sensibilidad de la clave, obteniendo excelentes resultados.
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