An efficient 2D hyper chaos and DNA encoding-based s-box generation method using chaotic evolutionary improvement algorithm for nonlinearity

IF 5.3 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Chaos Solitons & Fractals Pub Date : 2024-12-28 DOI:10.1016/j.chaos.2024.115952
Ali Murat Garipcan, Yılmaz Aydin, Fatih Özkaynak
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Abstract

In this study, an innovative substitution box (s-box) method is proposed, which combines the complexity and unpredictability of chaotic systems with the natural randomness and security features of Deoxyribonucleic Acid (DNA) encoding, in response to the increasing security requirements in the field of modern cryptography. This method, based on the integration of a two-dimensional (2D) hyper-chaotic Vincent map (VM) and DNA encoding techniques, aims to produce secure and high-performance s-boxes. To evaluate the reliability of the s-boxes, fundamental cryptographic criteria such as nonlinearity (NL), strict avalanche criterion (SAC), differential probability (DP), linear approximation probability (LAP), and bit independence criterion (BIC) are considered. Additionally, a novel chaos-based evolutionary optimization algorithm is proposed to optimize the NL criterion of the s-boxes. This algorithm offers a cost-effective and highly efficient alternative compared to classical metaheuristic methods, providing a balanced structure between security and performance. Experimental findings and comparison results demonstrate that the proposed s-boxes offer effective and reliable solutions for modern cryptographic applications, such as secure data transmission and storage. From a broader perspective, the study makes a meaningful contribution to the literature in the field of data security by presenting a high-performance s-box design meeting the security requirements of cryptographic systems and is resilient against current threats.
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基于混沌进化改进算法的二维超混沌和DNA编码s盒生成方法
本文针对现代密码学领域日益提高的安全性要求,提出了一种创新的替代盒(s-box)方法,将混沌系统的复杂性和不可预测性与脱氧核糖核酸(DNA)编码的自然随机性和安全性相结合。该方法基于二维(2D)超混沌文森特映射(VM)和DNA编码技术的集成,旨在产生安全和高性能的s-box。为了评估s盒的可靠性,考虑了非线性(NL)、严格雪崩准则(SAC)、微分概率(DP)、线性近似概率(LAP)和位无关准则(BIC)等基本密码准则。此外,提出了一种新的基于混沌的进化优化算法来优化s盒的NL准则。与传统的元启发式方法相比,该算法提供了一种经济高效的替代方案,在安全性和性能之间提供了平衡的结构。实验结果和比较结果表明,所提出的s-box为现代密码学应用提供了有效可靠的解决方案,如安全的数据传输和存储。从更广泛的角度来看,该研究提出了一种高性能的s-box设计,满足密码系统的安全要求,并具有抵御当前威胁的能力,对数据安全领域的文献做出了有意义的贡献。
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来源期刊
Chaos Solitons & Fractals
Chaos Solitons & Fractals 物理-数学跨学科应用
CiteScore
13.20
自引率
10.30%
发文量
1087
审稿时长
9 months
期刊介绍: Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.
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