A study was conducted of multipliers for 128-bit congruential pseudorandom number generators. Extensive analysis and testing resulted in the identification of over 2000 good multipliers of the form A = 5~k mod 2~(128), where k is a prime number. The integer lattice structure from any single multiplier is so fine that it is not visible when REAL*8 values are returned in up to four dimensions, or REAL*4 values in seven dimensions. The multipliers are designed to be used in sets, and are suitable for use in massively-parallel computation.
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机译：对128位同余伪随机数生成器的乘法器进行了研究。大量的分析和测试确定了2000多种形式为A = 5〜k mod 2〜（128）的良好乘数，其中k是质数。任何单个乘法器的整数晶格结构都非常好，以至于最多返回四个维度的REAL * 8值，或者返回七个维度的REAL * 4值时，它是不可见的。乘法器设计为可成组使用，适用于大规模并行计算。
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