Published February 25, 2025 | Version v1

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

  • 1. Techno-Pedagogy Unit, Virtual University of Chad, Box 5711, Ndjamena, Chad.
  • 2. University of NDjamena, Box 1117, NDjamena, Chad.
  • 3. Ecole Nationale Superieure des Technologies de lInformation et de la Communication (ENASTIC), NDjamena, Tchad.
  • 4. Institute of Sciences and Techniques of Abeche (INSTA), Abeche, Tchad.

Description

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. 

 

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