A medical image encryption scheme based on Mobius transformation and Galois field.

Autor:	Ali J; Department of Mathematics, Riphah International University, Lahore, Pakistan., Jamil MK; Department of Mathematics, Riphah International University, Lahore, Pakistan., Alali AS; Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrehman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia., Ali R; Department of Mathematics, Riphah International University, Lahore, Pakistan., Gulraiz; Department of Mathematics, Riphah International University, Lahore, Pakistan.
Jazyk:	angličtina
Zdroj:	Heliyon [Heliyon] 2023 Dec 12; Vol. 10 (1), pp. e23652. Date of Electronic Publication: 2023 Dec 12 (Print Publication: 2024).
DOI:	10.1016/j.heliyon.2023.e23652
Abstrakt:	Data security and privacy are considered to be the biggest problems faced by service providers who have worked with public data for a long time. A key element of modern encryption that is utilized to increase textual confusion is the Substitution box (S-box) and the algebraic strength of the S-box has a significant impact on how secure the encryption method is. In this article, we present a unique method that uses a linear fractional transformation on a finite field to produce cryptographically robust S-boxes. Firstly, we choose a specific irreducible polynomial of degree 8 in Z 2 [ x ] to construct G F ( 2 8 ) . Later, we used the action of P G L ( 2 , G F ( 2 8 ) ) on G F ( 2 8 ) to generate a robust S-box. The effectiveness of the built-in S-box was evaluated using several criteria including non-linearity, differential uniformity, strict avalanche criteria, linear approximation probability, and bit independence criterion. The proposed S-box's characteristics are compared to those of most recent S-boxes to confirm the higher performance. Additionally, the S box was used to encrypt images to show its usefulness for multimedia security applications. We performed several tests, including contrast, correlation, homogeneity, entropy, and energy, to evaluate the success of the encryption technique. The proposed method for ciphering an image is very effective, as proven by its comparison with several S boxes. Competing Interests: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. (© 2023 The Authors.)
Databáze:	MEDLINE
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