MZ/T 093-2017 in English
VALIDSpecification for welfare-lottery system lottery-random- number-test
- Issued on:2017-10-18
- Implemented on:2017-10-18
- File Format:PDF
- Delivery:Via email within 1~3 business days
$224.00
本标准规定了中国福利彩票系统彩票随机数字序列随机性的检验方法、检验过程和检验结果的判定。
本标准适用于中国福利彩票系统彩票随机数序列检验的测试机构和测试人员。
Introduction
Analysis of the core content of the standard
This standard establishes a complete testing system for the random number generator of the China Welfare Lottery system, verifying the randomness characteristics of binary sequences through 15 statistical methods. The main technical features include:
| Test dimensions | Key indicators | Technical requirements |
|---|---|---|
| Distribution characteristics | 0/1 ratio | Bias ≤0.01 |
| Sequence structure | Run distribution | χ² test P value ≥0.001 |
| Periodic characteristics | Fourier transform | Peak value ≤95% |
Detailed explanation of key technical methods
1. Proportion test (one-sample binomial test)
Convert the sequence to ±1 values and calculate the statistic: S = (2×count(1) - n)/√n Requirement: |S|≤2.807 (α=0.005)
2. Runs Test (Wald-Wolfowitz Test)
Calculate the total number of runs statistic: Z = (R - μ)/σ Where μ=(2n₁n₀)/n +1, σ²=(μ-1)(μ-2)/(n-1)
Actual Application Case
A provincial welfare lottery center tested a 10^6-bit sequence in the Double Color Ball Lottery Machine and found that: - The longest run in a block: 26 (the standard limit is 34) - Linear complexity: 92516 (theoretical expectation 100000±300) Pass all 15 tests.
Key points for standard implementation
- Sample size requirement: No less than 10^6 bits of binary data for a single test
- Recommended significance level: α∈[0.001,0.01]
- Judgment rule: Pass rate ≥(1-α-√(α(1-α)/s)×100%
Technology evolution analysis
Compared with GM/T 0005-2012, this standard adds: - Overlapping template matching test - Optimization of the k value for binary deduction test - Introduction of the general statistical test method of NIST SP800-22

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