Traditional cryptographic systems rely on static key structures and symmetric computational assumptions between legitimate users and adversaries. In this paper, we propose a novel cryptographic framework that introduces dynamic key evolution, fractalbased nonlinear transformations, and labyrinthine branching structures.The core idea is to construct a system in which the cryptographic key is not a fixedvalue but a trajectory through a dynamically evolving state space. The system enforcescomputational asymmetry: legitimate users follow a correct path with efficient computation, while adversaries encounter exponential complexity due to incorrect branchingand trap mechanisms.We integrate fractal iteration to introduce strong nonlinearity and unpredictability,combined with history-dependent state accumulation. Experimental results demonstrate that the proposed system achieves practical execution time while significantlyincreasing the computational burden for brute-force attacks.
Ren Matsuoka (Tue,) studied this question.