NEW ONE-DIMENSIONAL (1D) CHAOTIC MAP FOR DATA ENCRYPTION

In this paper, we present a new one-dimensional polynomial exponential chaotic map, named 1D-PEC. The dynamic properties of the new map are investigated as a function of different parameters. The set of areas in parameter space where the map exhibits periodic, constant, and chaotic dynamics is also determined. The cryptographic performance of the 1D-PEC map is successfully analyzed using initial condition and parameter sensitivity tests, key space, and histogram analyses. The new chaotic card has a larger key space, making cryptanalysis more difficult.