FPGA Implementation of a Chaotic Quadratic Map for Cryptographic Applications

Year 2017, Volume: 12 Issue: 2, 113 - 119, 01.10.2017

Hidayet Oğraş , Mustafa Türk

Abstract

A hardware implementation of a quadratic map through FPGA platform is proposed in this paper. Firstly, a
chaotic quadratic map is modeled by using Matlab/Simulink programming and then implemented into the FPGA
(Field Programmable Gate Array) to be used for key generation for cryptographic applications. When the
quadratic map is in chaotic mode, its output is unpredictable and aperiodic. Besides this, the map has a uniform
output distribution and sufficient randomness. These characteristics make the chaotic quadratic map a suitable
key generator for cryptography. This paper also reveals the successful real-time implementation of the quadratic
map using FPGA for practical applications. Experimental results confirm that the feasibility of the quadratic map
is verified under a digital hardware environment.

Keywords

Chaos, Quadratic Map, Implementation, FPGA

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