Cryptographic PRNG Based on Combination of LFSR and Chaotic Logistic Map

References

[1] R. C. Fair?eld, R. L. Mortenson and K. B. Coulthart, “An LSI Random Number Generator (RNG),” Advances in Cryptography: Proceeding of Cryptography 84, Vol. 196, 1984, pp. 203-230.

[2] S. Callegari, R. Rovatti and G. Setti, “Embeddable ADC-Based True Random Number Generator for Cryptographic Applications Exploiting Nonlinear Signal Processing and Chaos,” Signal Processing IEEE Transactions, Vol. 53, No. 2, 2005, pp. 793-805.
doi:10.1109/TSP.2004.839924

[3] K. Tsoi, K. Leung and P. Leong, “Compact FPGA-Based True and Pseudo Random Number Generators,” Proceedings of IEEE Symposium on Field-Programmable Custom Computing Machines (FCCM), 9-11 April 2003, pp. 51-61.

[4] H. Zhang, Y. Wang, B. Wang and X. Wu, “Evolutionary Random Sequence Generators Based on LFSR,” Wuhan University Journal of Natural Sciences, Vol. 12, No. 1, 2007, pp. 75-78.

[5] T. Stojanovski, J. Pil and L. Kocarev, “Chaos-Based Random Number Generators. Part II: Practical Realization,” IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 48, No. 3, 2001, pp. 382-385. doi:10.1109/81.915396

[6] M. Sharaf, H. A. K. Mansour and H. H. Zayed, “A Complex Linear Feedback Shift Register Design for the A5 Key Stream Generator,” Proceedings of the Twenty-Second National Radio Science Conference (NRSC 2005), Cairo, 15-17 March 2005, pp. 395-402.
doi:10.1109/NRSC.2005.194024

[7] L. C. Reese, W. M. Isenhower and S.-T. Wang. “Analysis and Design of Shallow and Deep Foundations,” John Wiley & Sons, New York, 2006.

[8] L. Y. Deng and Y. C. Chu, “Combining Random Number Generators,” Proceedings of the 23rd Conference on Winter Simulation, 1991, pp. 1043-1046.

[9] A. Reese, “Random Number Generators in Genetic Algorithms for Unconstrained and Constrained Optimization,” Nonlinear Analysis, Vol. 71, 2009, pp. 679-692.
doi:10.1016/j.na.2008.11.084

[10] M. Babaei and M. Ramyar, “Improved Performance of LFSR’s System with Discrete Chaotic Iterations,” Word Applied Science Journal (ISI), Vol. 13, No. 7, 2011, pp. 1720-1725.

[11] NIST Special Publication 800-22, Statistical Test Suite for Random and Pseudo Random Number Generators for Cryptographic Applications, Available at
http://www.nist.gov