Analysis of Chaotic Logistic Map used to Generate Secret Keys

Abstract

Chaotic logistic map is a good model which can be used to generate various secret keys used in data cryptography. In this paper research a detailed analysis of CLM will be introduced. The behavior of CLM will be studied to show how to select the best values of the CLM parameters (growth rate, initial population and the length of the population). Various ranges of the population growth and the initial population will be tested. It will be shown how to use the generated populations to form various secret keys. The sensitivity of CLM will be studied, and it will be shown that any minor changes in the CLM parameters will lead to change the generated population. The population generation time will be tested using various in length generated population, and some recommendation will be provided when dealing with data with big size. It will be shown that using CLM will provide a good security level when using the CLM parameters as a private key.