A novel nonlinear component of block cipher and hybrid RGB image encryption over Gaussian ring and Mordell elliptic curve
A key research challenge in modern cryptography is the construction of robust nonlinear components that simultaneously achieve high nonlinearity, resistance to linear and differential cryptanalysis, and efficient implementation for real-time systems. Existing S-box construction methods-whether chaos-based or algebraic-struggle to balance these requirements, especially in RGB image encryption where large data size, high redundancy, and inter-pixel correlations complicate security. To address these challenges, this paper presents a novel technique for constructing block cipher nonlinear elements and developing an RGB image encryption scheme by integrating Gaussian integer rings with Mordell elliptic curves.
In this study, we investigate the fractional telegraph equation, a key nonlinear model for signal transmission, wave propagation, and complex dynamical systems in engineering.
A key research challenge in modern cryptography is the construction of robust nonlinear components that simultaneously achieve high nonlinearity, resistance to linear and differential…
In this paper, we investigated higher-order smooth positon and breather-positon solutions of the Kuralay equation. Starting from the associated Lax pair, we constructed an explicit N-fold Darboux…