Two-dimensional hyperchaotic effect coupled mapping lattice and its application in dynamic S-box generation

This paper presents a method for the construction of dynamic S-boxes using the Two-Dimensional Hyperchaotic Effect Coupled Map Lattice (2D-HECML) system. Initially, we design an Enhanced M-Sequence for the selection of coupled objects in 2D-HECML, as well as for linear transformation matrices and coordinate transformations in S-box substitution. Its excellent stochasticity and distributional properties are demonstrated by comparative analysis of the equilibrium and autocorrelation functions. Then, we integrate the novel spherical cavity hyperchaotic mapping into the 2D-HECML system to construct the modular space hyperchaotic effect. The rich nonlinear dynamical behavior and excellent performance of the system are verified by the comparative analysis of dynamical characteristic indices such as correlation coefficient and bifurcation diagrams. Based on the above, we design a dynamic S-box generation algorithm by exploiting the spatiotemporal chaotic property of the system. The test results of various cryptographic performance metrics confirm that the S-boxes generated by this algorithm can effectively resist various types of cryptanalytic attacks, including differential attacks and correlated key attacks.