Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12188/20067
Title: COMPARISON OF THE RESULTS OBTAINED BY PSEUDO RANDOM NUMBER GENERATOR BASED ON IRRATIONAL NUMBERS
Authors: Bakeva, Verica 
Dimitrievska Ristovska, Vesna
Keywords: PRNG, IRRATIONAL NUMBERS, TRANSCENDENTAL NUMBERS, STATISTICAL TESTS, DIEHARD BATERY, RANDOMNESS
Issue Date: 2017
Publisher: Scientific Technical Union of Mechanical Engineering" Industry 4.0"
Journal: Mathematical Modeling
Abstract: Pseudo-random number generators (PRNG) based on irrational numbers are proposed elsewhere. They generate random numbers using digits of real numbers which decimal expansions neither terminate nor become periodic and practically their decimal expansion has infinite period. Using that algorithm, we generate sequences of random numbers and then we check their randomness with statistical tests from Diehard battery. Our main idea is to check is there a difference in the randomness of the generated sequences if digits of any irrational non- transcendental number (like √2, √3,√5, … ) are used versus the case when digits of a transcendental number (like π or e) are used. In our experiments we use about 3·107 digits of a given non-periodic irrational or transcendental number. Many experiments were done and all generated sequences by proposed PRNG based on irrational numbers passed the Diehard tests very well. We may conclude that there is not a significant difference in the randomness of the generated sequences in the both cases (irrational nontranscendental versus irrational transcendental number).
URI: http://hdl.handle.net/20.500.12188/20067
Appears in Collections:Faculty of Computer Science and Engineering: Journal Articles

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