An innovative design of substitution-box using Trigonometric-Multiplicative Functions Using Square Root Arguments: A Data-driven study.

Abstract

In the evolving landscape of digital technology, the imperative for robust data security mechanisms has escalated, given the increasing sophistication of cyber threats. This abstract delineates a study focused on enhancing cryptographic defenses through the innovation of a Substitution box (S-Box), which is pivotal in the architecture of modern encryption algorithms. The proposed S-Box, deriving its foundation from chaotic maps integrated with trigonometric-multiplicative functions, represents a novel approach in cryptographic design, utilizing square root arguments to instigate dynamic characteristics. The evaluation of the proposed S-Box was methodically conducted using a comprehensive set of cryptographic benchmarks including Nonlinearity (NL), Strict Avalanche Criterion (SAC), Bit Independence Criterion (BIC), Linear Approximation Probability (LP), and Differential Approximation Probability (DP), to ascertain its defensive robustness against cryptanalytic attacks. The comparative analysis delineated in this study reveals that the cryptographic strength of the proposed S-Box transcends that of other contemporaneously designed S-Boxes thereby underscoring its potential applicability in real-world security scenarios. The findings of this research not only contribute to the theoretical underpinnings of cryptographic security but also have practical implications in the development of more secure digital environments fortifying data against unauthorized access and ensuring the integrity of confidential information in digital communications.