Non-Replicable Function-Based Multi-Level Random Dynamic Secret Key Algorithm (Extended Version)

Abstract

Based on the proof that, as an encryption function, the residual function y=(ax) mod m is a non-replicable function, this paper constructs multi-level encryption functions y¹=(a¹x)mod m1,…, y_n=(a_ny_n-1)mod mn. And based on this the paper constructs the multilevel random dynamic secret key algorithm XM^-1. XM^-1 has three-fold safeguards. First, the encryption function is not replicable. Secondly, the secret keys and the number of secret keys are randomized. Thirdly, when the system does not run, there is no secret key. After slight changes, the four examples for constructing XM^-1 given in this paper can be put into practical use.