A Novel Dormand-Prince Based Hybrid Chaotic True Random Number Generator on FPGA

Year 2021, Volume: 9 Issue: 1, 40 - 47, 30.01.2021

İsmail Koyuncu Halil İbrahim Şeker Murat Alçın Murat Tuna

https://doi.org/10.17694/bajece.722911

Abstract

This study presents a novel Dormand-Prince-based hybrid chaotic True Random Number Generator Design (TRNG) that can be used for secure communication and cryptographic applications on Field Programmable Gate Array (FPGA). In this design, a chaotic oscillator unit has been implemented with an FPGA-based Sprott-Jafari chaotic oscillator model suitable with IQ-Math fixed point number and IEEE 754-1985 floating point number standards. Random numbers have been produced with the quantization of the results generated by the chaotic oscillator. XOR has been performed with FPGA-based ring oscillator structure on the post-processing unit so as to enhance the randomness. The differential equation of the chaotic system used in the TRNG design was modelled using Dormand-Prince numerical algorithm method. The design on FPGA has been realized in two separate number formats including 32-bit (16I-16Q) IQ-Math fixed point number standard and 32-bit IEEE 754-1985 floating point number standard. The realized designs have been coded in VHDL, a hardware description language, and the Xilinx ISE 14.7 program has been used for the system design. Two separate TRNG designs have been synthesized and tested for the Virtex-6 (XC6VLX240T-1FF1156) FPGA chip. The maximum operating frequency of the TRNG with 32-bit IQ-Math fixed point number standard is 344.585 MHz and the throughput is approximately 344 Mbit/s. The maximum operating frequency of the TRNG with 32-bit IEEE 754-1985 floating point number standard is 316.756 MHz and the throughput is 316 Mbit/s. 1 Mbit sequence has been generated by both designed TRNG systems. Randomness analysis of the generated numbers has been performed in accordance with the NIST 800-22 tests and the generated numbers have successfully passed all of the tests.

Keywords

Chaotic oscillator, Dormand-Prince algorithm, Field programmable gate array, NIST-800-22, Random number generator

Supporting Institution

Afyon Kocatepe University Scientific Research Projects Coordination Unit.

Project Number

18.FEN.BİL.50

Thanks

This research has been supported by grant number 18.FEN.BİL.50 from Afyon Kocatepe University Scientific Research Projects Coordination Unit.

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