We describe a new statistical test for pseudorandom number generators (PRNGs). Our test can find bias induced by dependencies among the Hamming weights of the outputs of a PRNG, even for PRNGs that pass state-of-the-art tests of the same kind from the literature, and particularly for generators based on F₂-linear transformations such as the dSFMT [22], xoroshiro1024+ [1], and WELL512 [19].

中文翻译：

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汉明权重依赖性的新测试

我们描述了一种用于伪随机数生成器 (PRNG) 的新统计测试。我们的测试可以发现由 PRNG 输出的汉明权重之间的依赖关系引起的偏差，即使对于通过文献中同类最先进测试的 PRNG，尤其是对于基于F ₂ -linear的生成器转换，例如 dSFMT [22]，xoroshiro1024+[1] 和 WELL512 [19]。