| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2020: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2019: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
In this research, using a so called three-level test, we modify several statistical tests in NIST SP800-22 by the National Institute of Standards and Technology (NIST) and TestU01 by L'Ecuyer and Simard. We also improve upper limits of sample size at the second level for nine tests in 15 tests in NIST SP800-22 with the chi-squared discrepancy of the exact distribution of p-values from the uniform distribution.
Xorshift128+ is a newly proposed pseudorandom number generator, which is now the standard one on a number of platforms. We demonstrate that three-dimensional plots of the random points generated by the generator have visible struc- tures: they concentrate on particular planes in the cube. We provide a mathematical analysis of this phenomenon.
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