Mersenne Twister和Xorgens设计的结合
Combining the Mersenne Twister and the Xorgens Designs
摘要：
我们结合两个\emph{random number generators}，\emph{Mersenne Twister}和\emph{Xorgens}的设计，得到了一类新的生成器，其特征多项式的权重（仅超过{ \sc well}生成器）和速度（与原始生成器相当）。对于从521到44497位的状态大小和字长32、64、128中的每一个，包括具有参数组合的表。这些生成器通过了\emph{TestU01}包的所有测试，包括输出的每个32位整数部分和每个64位导出实部。我们确定32位字的\emph{dimension gaps}，忽略非线性回火，并与替代实验线性回火比较。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
