Braaten and Weller discovered that the star-discrepancy of Halton sequences can be strongly reduced by scrambling them. In this paper, we apply a similar approach to those subsequences of Halton sequences which can be identified to have low-discrepancy by results from p-adic discrepancy theory. For given finite $N$, it turns out that the discrepancy of these sets is surprisingly low. By that known empiric bounds for the inverse star-discrepancy can be improved.

翻译：Braaten和Weller发现，通过加扰Halton序列可以显著降低其星偏差。本文采用类似方法处理Halton序列中那些根据p进偏差理论可被识别为低偏差的子序列。对于给定的有限$N$，这些集合的偏差结果出奇地低。借此，已知的逆星偏差经验界限得以改进。