A Better Approach to Generating Random Numbers
The term random number has been used by many scholars to explain the behaviour of a stochastic system. Many of such scholars with statistical or mathematical background view it as an organized set of numbers produced by a function in a numerical way in which the next number to be produced is unknown or unpredictable. This paper produced software that generates a sequence of random number and also compared the algorithm with the commonly used method of random number generator. The three most common methods selected were the Mid Square method, Fibonacci method and Linear Congruential Generator Method (LCG). The result shows that the LCG provides a more acceptable result in terms of speed, long cycle, uniformity and independence Applications of this random numbers can be seen in Monte Carlo simulations, simulation or modelling, password generation, cryptography and online games.
Bonde V. and Kale D. (2013) Design and Implementation of a Random Number Generator on FPGA, International Journal of Science and Research (IJSR) ISSN (Online): 2319-7064.
Maheshwari R., Gupta S., Sharma V. and Chauhan V. (2014) Pseudo Random Number Generator.
Katyal, Mishra, Baluni, (2013) True Random Number Generator using Fish Tank Image International Journal of Computer Applications, vol. 78, issue 16, pp. 38-40. https://doi.org/10.5120/13609-1419
Li, K. (2012). Performance analysis and evaluation of random walk algorithms on wireless networks. International Journal of Foundations of Computer Science, 23(04), 779-802. https://doi.org/10.1142/S0129054112400369.
Rahman, M. T., Xiao, K., Forte, D., Zhang, X., Shi, J., & Tehranipoor, M. (2014). TI-TRNG: Technology Independent True Random Number Generator. Paper presented at the Proceedings of the The 51st Annual Design Automation Conference on Design Automation Conference. https://doi.org/10.1145/2593069.2593236
Tong, X., Liu, Y., Zhang, M., Xu, H., & Wang, Z. (2015). An Image Encryption Scheme Based on Hyperchaotic Rabinovich and Exponential Chaos Maps. Entropy, 17(1), 181-196. https://doi.org/10.3390/e17010181
D. Kalman and R. Mena, The Fibonacci numbers - Exposed, The Mathematical Magazine 2 (2002).
Y. K. Gupta, Y. K. Panwar and O. Sikhwal, Generalized Fibonacci Sequences, Theoretical Mathematics and Applications 2 (2) (2012), 115-124.
Y. K. Gupta, M. Singh and O. Sikhwal, Generalized Fibonacci - Like Sequence Associated with Fibonacci and Lucas Sequences, Turkish Journal of Analysis and Number Theory 2 (6) (2014), 233-238. https://doi.org/10.12691/tjant-2-6-9
M. Edson and O. Yayenie, A new generalization of Fibonacci Sequence and Extended Bine t's formula, Integer 9 (2009), 639-654. https://doi.org/10.1515/INTEG.2009.051
Reuven Y Rubinstein and Dirk P Kroese. Simulation and the Monte Carlo method, volume 707. John Wiley & Sons, 2011
Tirdad K. (2010) Ryerson University "Developing pseudo random number generator based on neural networks and neuro fuzzy systems"
Prasada Rao Gurubill, Dr. Deepak Garg "Better technique of random number generation", National Conference on Emerging Trends in Engineering and Sciences (NCETES- 2010)
Deng, Lih-Yuan, and Dennis Meisner Gary, (2012) Pascal's triangles.
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