Modified Logistic Maps for Discrete Time Chaos Based Random Number Generator

Magfirawaty, Andriani Adi Lestari, Suryadi, Kalamullah Ramli

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

This research designs a discrete time (DT) chaos based random number generator (RNG), which uses one-dimension chaos modification as deterministic function in the destillation process. One-dimensional chaos (1D) is a simple dynamic system, which is widely applied to generate random numbers. Our work modifies logistic map that will be applied as DT chaos-based RNG. The logistic map is a chaotic system that is usually applied in the cryptosystem. The modification performed yields a new deterministic equations, which is capable to process data of real numbers, and generate positive and negative numbers. Through empirical verification the extractor function is obtained with the threshold value=0.718 to convert the real number that is generated by a deterministic function into a sequence of bits which has high entropy value. Through NIST 800-22 randomness test it is revealed that the obtained bit sequences have the proportion values at intervals 0.9804-0.9994 and P-values are greater than 0.01 for the frequency test, the cumulative sums test, the rank test, and a linear complexity test. Implementation of the DT chaos-based RNG method with the our proposed function using ZedBoard Zynq 7000 presents the number of resources used are LUT=3.9%, FF=1.6% and DSP =12.7%.

Original languageEnglish
Title of host publicationProceedings of 2018 International Conference on Electrical Engineering and Computer Science, ICECOS 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages391-396
Number of pages6
ISBN (Electronic)9781538657201
DOIs
Publication statusPublished - 7 Jan 2019
Event2018 International Conference on Electrical Engineering and Computer Science, ICECOS 2018 - Pangkal Pinang, Indonesia
Duration: 2 Oct 20184 Oct 2018

Publication series

NameProceedings of 2018 International Conference on Electrical Engineering and Computer Science, ICECOS 2018

Conference

Conference2018 International Conference on Electrical Engineering and Computer Science, ICECOS 2018
CountryIndonesia
CityPangkal Pinang
Period2/10/184/10/18

Keywords

  • bit sequence
  • bitstream
  • chaotic system
  • discrete time chaos
  • random numbers

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