Journal
ELECTRONICS
Volume 10, Issue 4, Pages -Publisher
MDPI
DOI: 10.3390/electronics10040413
Keywords
applied cryptography; images encryption; jpeg encryption; elliptic-curve cryptography; chaos; logistic map; cryptanalysis; randomness; symmetric cryptosystem; substitution box
Categories
Funding
- Instituto Politecnico Nacional (National Polytechnic Institute)
- ESIME Culhuacan
- CIDETEC
- CONACyT
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This research introduces a new symmetric encryption system based on elliptical curve and chaos, which enhances security through improved encryption levels and increased diffusion with the use of strong curve solution points and random number strings. The system also includes a substitution box with a non-linearity of 100 to strengthen the cryptosystem against various attacks. The proposed cryptosystem is tested against different analyses to verify its robustness and the quality of the obtained cipher text.
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, chi(2), Changing Pixel Rate (NPCR), and Unified Averaged Changing Intensity (UACI). The results are shown and compared with recently proposed systems.
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