论文标题
将Mersenne Twister和Xorgens设计相结合
Combining the Mersenne Twister and the Xorgens Designs
论文作者
论文摘要
我们结合了两个\ emph {随机数生成器}，\ emph {mersenne twister}和\ emph {xorgens}的设计，以获取具有重量特征多项式的新生成器（仅超过{\ sc well}生成器），并且与原始速度相比，具有参数组合的表的表格，范围为521至44497位，每个单词长度为32、64、128。这些发生器通过\ emph {testu01} -package的所有测试，每32位整数部分，每个64位衍生的真实部分，以及输出输出的真实部分。我们确定32位单词的\ emph {Dimension Gaps}，忽略了非线性回火，并与另一种实验线性回火进行了比较。
We combine the design of two \emph{random number generators}, \emph{Mersenne Twister} and \emph{Xorgens}, to obtain a new class of generators with heavy-weight characteristic polynomials (exceeded only by the {\sc well} generators) and high speed (comparable with the originals). Tables with parameter combinations are included for state sizes ranging from 521 to 44497 bits and each of the word lengths 32, 64, 128. These generators passed all tests of the \emph{TestU01}-package for each 32-bit integer part and each 64-bit derived real part of the output. We determine \emph{dimension gaps} for 32-bit words, neglecting the non-linear tempering, and compare with an alternative experimental linear tempering.
