With the rapid advancement of digital technology and the pervasive use of media information, ensuring image security and efficient transmission has become increasingly critical. Therefore, this paper proposes a novel 4D hyperchaotic system incorporating a compression encryption algorithm that integrates generalized Fibonacci matrices and heterogeneous scrambling. Firstly, the proposed scheme constructs a novel hyperchaotic system, and its dynamic characteristics are analyzed to validate its rich dynamical behavior, exhibiting high randomness and sensitivity to initial conditions. Secondly, dur...