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24 pages, 4478 KB

Open AccessArticle

DNA-Inspired Lightweight Cryptographic Algorithm for Secure and Efficient Image Encryption

by Mahmoud A. Abdelaal, Abdellatif I. Moustafa, H. Kasban, H. Saleh, Hanaa A. Abdallah and Mohamed Yasin I. Afifi

Sensors 2025, 25(7), 2322; https://doi.org/10.3390/s25072322 - 6 Apr 2025

Cited by 2 | Viewed by 1596

Abstract

As IoT devices proliferate in critical areas like healthcare or nuclear safety, it necessitates the provision of cryptographic solutions with security and computational efficiency. Very well-established encryption mechanisms such as AES, RC4, and XOR cannot strike a balance between speed, energy consumption, and robustness. Moreover, most DNA-based solutions are not cognizant of the hardware limitations of IoT platforms such as Arduino R3. This paper proposes an improved encryption technique incorporating stochastic DNA-inspired processing with optical computing in a resource-constrained environment. The proposed algorithm employs stochastic pixel selection with DNA-encoded key generation and is further enhanced by parallel optical processing to overcome the trade-offs of conventional techniques during implementation. Experimental trials performed on Arduino R3 established superior performance in terms of an encryption time of 3956 μs and memory usage of 773 bytes, placing it ahead of AES and XOR-based approaches. Apart from the tests performed, security analyses have revealed a strong resistant position upon differential cryptanalysis (DP = 0.051) and linear cryptanalysis (LP = 0.045), with an almost-ideal key entropy (7.99 bits/key) and minimal autocorrelation (0.018). This research offers practical applications in real-time medical monitoring and nuclear radiation detection systems by closing the existing gap in hardware-aware DNA cryptography. Full article

(This article belongs to the Section Sensing and Imaging)

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17 pages, 347 KB

Open AccessArticle

Stochastic Entropy Solutions for Stochastic Nonlinear Transport Equations

by Rongrong Tian and Yanbin Tang

Entropy 2018, 20(6), 395; https://doi.org/10.3390/e20060395 - 23 May 2018

Cited by 6 | Viewed by 2993

Abstract

This paper considers the existence and uniqueness of stochastic entropy solution for a nonlinear transport equation with a stochastic perturbation. The uniqueness is based on the doubling variable method. For the existence, we develop a new scheme of parabolic approximation motivated by the method of vanishing viscosity given by Feng and Nualart (J. Funct. Anal. 2008, 255, 313–373). Furthermore, we prove the continuous dependence of stochastic strong entropy solutions on the coefficient b and the nonlinear function f. Full article

(This article belongs to the Special Issue Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors)

16 pages, 794 KB

Open AccessArticle

Far-From-Equilibrium Time Evolution between Two Gamma Distributions

by Eun-jin Kim, Lucille-Marie Tenkès, Rainer Hollerbach and Ovidiu Radulescu

Entropy 2017, 19(10), 511; https://doi.org/10.3390/e19100511 - 22 Sep 2017

Cited by 14 | Viewed by 5810

Abstract

Many systems in nature and laboratories are far from equilibrium and exhibit significant fluctuations, invalidating the key assumptions of small fluctuations and short memory time in or near equilibrium. A full knowledge of Probability Distribution Functions (PDFs), especially time-dependent PDFs, becomes essential in understanding far-from-equilibrium processes. We consider a stochastic logistic model with multiplicative noise, which has gamma distributions as stationary PDFs. We numerically solve the transient relaxation problem and show that as the strength of the stochastic noise increases, the time-dependent PDFs increasingly deviate from gamma distributions. For sufficiently strong noise, a transition occurs whereby the PDF never reaches a stationary state, but instead, forms a peak that becomes ever more narrowly concentrated at the origin. The addition of an arbitrarily small amount of additive noise regularizes these solutions and re-establishes the existence of stationary solutions. In addition to diagnostic quantities such as mean value, standard deviation, skewness and kurtosis, the transitions between different solutions are analysed in terms of entropy and information length, the total number of statistically-distinguishable states that a system passes through in time. Full article

(This article belongs to the Special Issue Thermodynamics and Statistical Mechanics of Small Systems)

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