Abstract
This paper proposes a new symmetric encryption system based on an elliptical curve and chaos, where the encryption is done in a single block and runs for 14 rounds. Here, the 15 encryption keys have the same size as the image and are generated using a solution point of a strong elliptic curve. Using a string of random numbers obtained with a logistic map, a permutation and its inverse are generated, which improve the encryption level and add diffusion to the cryptosystem. Another important contribution to this research is the generation of a substitution box with a non-linearity of 100, which strengthens the cryptosystem against differential and linear attacks that add confusion to the scheme. Moreover, the cryptographic properties of the proposed S-Box are compared with those of the S-Box of the Advanced Encryption Standard (AES) to ascertain that it is a suitable alternative that it is resistant to differential power analysis (DPA) attacks. To verify the robustness of proposed cryptosystem against cryptanalysis and the quality of the cipher text obtained, this system is subjected to different tests, such as entropy, correlation coefficient, χ2, Changing Pixel Rate (NPCR), and Unified Averaged Changing Intensity (UACI). The results are shown and compared with recently proposed systems.
Highlights
A large amount of sensitive information is transmitted through the internet, and such information can be accessed through public as well as private networks
To encrypt the BMP images, reference [3] proposed an efficient cryptographic algorithm based on elliptic curves and chaos
Most of the other image formats are based on the RGB color models (Red, Green, Blue), but the JPEG format employs the color model YUV, where “Y” means luminance while “U” and “V” means chrominance, which works under the principle that the human eye is unable to identify certain bands of colors [5]
Summary
A large amount of sensitive information is transmitted through the internet, and such information can be accessed through public as well as private networks. It can be modified and edited because it can be debugged and viewed without special tools; besides that, it is used to display image files, including the color of each pixel, and it was designed to be a Windows standard, it is currently supported by a variety of operating systems [1] In several countries, such as Mexico, where this research was carried out, it is prohibited to lose information in documents with sensitive information that need to be encrypted [2]; the use of BMP or another lossless scheme is imperative when it is required to store digital documents. There is a loss of information, it is imperceptible to the human eye
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