Chaos-based image encryption schemes have been extensively employed over the past few years. Many issues such as the dynamical degradation of digital chaotic systems and information security have been explored, and plenty of successful solutions have also been proposed. However, the impact of finite precision in different hardware and software setups has received little attention. In this work, we have shown that the finite precision error may produce distinct cipher-images on different devices. In order to overcome this problem, we introduce an efficient cryptosystem, in which the chaotic logistic map and the Galois field theory are applied. Our approach passes in the ENT test suite and in several cyberattacks. It also presents an astonishing key space of up to 2. Benchmark images have been effectively encrypted and decrypted using dissimilar digital devices.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1063/5.0061639 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
A combinatory approach of non-chain ring and henon map for image encryption application.
Sci Rep
January 2025
Department of Mathematics, College of Science, King Khalid, University, Abha, 61413, Saudi Arabia.
Algebraic structures play a vital role in securing important data. These structures are utilized to construct the non-linear components of block ciphers. Since constructing non-linear components through algebraic structures is crucial for the confusion aspects of encryption schemes, relying solely on these structures can result in limited key spaces.
View Article and Find Full Text PDF"In Mathematical Language": On Mathematical Foundations of Quantum Foundations.
Entropy (Basel)
November 2024
Literature, Theory, and Cultural Studies, and Philosophy and Literature Program, Purdue University, West Lafayette, IN 47907, USA.
The argument of this article is threefold. First, the article argues that from its rise in the sixteenth century to our own time, the advancement of modern physics as mathematical-experimental science has been defined by the invention of Second, the article argues that quantum theory, especially following quantum mechanics, gives this thesis a radically new meaning by virtue of the following two features: on the one hand, quantum phenomena are defined as essentially different from those found in all previous physics by ; and on the other, quantum mechanics and quantum field theory are defined by , which connect them to quantum phenomena strictly in terms of probabilities, without, as in all previous physics, representing or otherwise relating to how these phenomena physically come about. While these two features may appear discordant, if not inconsistent, I argue that they are in accord with each other, at least in certain interpretations (including the one adopted here), designated as "reality without realism", RWR, interpretations.
View Article and Find Full Text PDFThe specifics of the Galois field GF(257) and its use for digital signal processing.
Sci Rep
July 2024
National Engineering Academy of the Republic of Kazakhstan, Almaty, Kazakhstan.
An algorithm of digital logarithm calculation for the Galois field is proposed. It is shown that this field is coupled with one of the most important existing standards that uses a digital representation of the signal through 256 levels. It is shown that for this case it is advisable to use the specifics of quasi-Mersenne prime numbers, representable in the form , which includes the number 257.
View Article and Find Full Text PDFTop on a smooth plane.
Chaos
April 2024
Janusz Gil Institute of Astronomy, University of Zielona Góra, Licealna 9, 65-417 Zielona Góra, Poland.
We investigate the dynamics of a sliding top that is a rigid body with an ideal sharp tip moving in a perfectly smooth horizontal plane, so no friction forces act on the body. We prove that this system is integrable only in two cases analogous to the Euler and Lagrange cases of the classical top problem. The cases with the constant gravity field with acceleration g≠0 and without external field g=0 are considered.
View Article and Find Full Text PDFIn this study, we propose a novel, to the best of our knowledge, all-optical Galois field (AOGF) adder that utilizes logic all-optical XOR gates. The design is founded on optical beams' constructive and destructive interference phenomenon and incorporates the phase shift keying technique within a two-dimensional linear photonic crystal (2D-LPhC) structure. The suggested AOGF adder comprises eight input ports and four output ports.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!