The Key Generation Process by 3D-Fuzzy Chaotic Model for Secure Communications

Abstract

In this work we proposed a novel way in generating the keys for encryption models. This through employing the Knapsack problem and the continuous chaotic map within the Takagi-Sugeno Fuzzy model. The outputs of the Fuzzy chaotic model are used to create the secure ephemeral key. A chosen primitive variable and randomly choice of the initial values add feature to the chaotic system such nonlinearity. Orbit of the discrete points is determined based on the fuzzy chaos system that is unpredictable. On the proposed Knapsack fuzzy chaotic cryptosystem, the keys are generated, and the masked ciphertext are computed based on the super-increasing sequence which is combined with a secure ephemeral key by implementing the Lorenz map.