Nonlinearity Improvement for Ascon Substitution Box

Mohamed Bakr, Noha Korany
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Abstract

: The technological scene is developing towards employing tiny-sized devices. For a variety of functions that encompass sensing, identification, and decision-making. These devices are restricted in their resources to be secure. The National Institute of Standards and Technology (NIST) has published the Ascon, a standard lightweight cryptography (LWC) algorithm for data gathered by restricted devices in 2023. The fundamental function of Ascon is the permutation function. The main core of the permutation function is the substitution box (S-box). This paper proposes an S-box based on chaotic systems using coupled map lattices (CML), which agrees with LWC algorithms due to its low complexity. The proposed S-box suggests high performance and security for restricted devices. The security robustness is tested using various cryptographic criteria, such as nonlinearity, strict avalanche criteria, and differential approximation probabilities. The proposed S-box approaches significant resistance to both linear and differential cryptanalysis. So, it could be replacing the substitution and linear diffusion layers of Ascon permutation to improve the nonlinearity and randomness.
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Ascon 置换盒的非线性改进
:技术领域正朝着采用微型设备的方向发展。这些设备具有传感、识别和决策等多种功能。这些设备的安全资源受到限制。美国国家标准与技术研究院(NIST)于 2023 年发布了用于受限设备收集数据的标准轻量级加密(LWC)算法 Ascon。Ascon 的基本功能是置换函数。置换函数的主要核心是置换盒(S-box)。本文提出了一种基于使用耦合图格(CML)的混沌系统的 S-box,由于其复杂度低,与 LWC 算法不谋而合。所提出的 S-box 为受限设备提供了高性能和安全性。使用各种加密标准,如非线性、严格雪崩标准和差分逼近概率,对安全性进行了测试。所提出的 S-box 对线性和差分密码分析都有显著的抵抗能力。因此,它可以取代 Ascon permutation 的替换层和线性扩散层,以提高非线性和随机性。
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