Fully digital 1-D, 2-D and 3-D multiscroll chaos as hardware pseudo random number generators

Abhinav S. Mansingka, Ahmed Gomaa Radwan, Khaled N. Salama

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

10 Scopus citations


This paper introduces the first fully digital implementation of 1-D, 2-D and 3-D multiscroll chaos using the sawtooth nonlinearity in a 3rd order ODE with the Euler approximation. Systems indicate chaotic behaviour through phase space boundedness and positive Lyapunov exponent. Low-significance bits form a PRNG and pass all tests in the NIST SP. 800-22 suite without post-processing. Real-time control of the number of scrolls allows distinct output streams with 2-D and 3-D multiscroll chaos enabling greater controllability. The proposed PRNGs are experimentally verified on a Xilinx Virtex 4 FPGA with logic utilization less than 1.25%, throughput up to 5.25 Gbits/s and up to 512 distinct output streams with low cross-correlation.
Original languageEnglish (US)
Title of host publication2012 IEEE 55th International Midwest Symposium on Circuits and Systems (MWSCAS)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages4
ISBN (Print)9781467325271
StatePublished - Sep 10 2012

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01


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