A 64-bit linear congruential generator random number generator

• Main Authors: Mao-Mei Syu, 徐茂為
• Other Authors: Huei-Cin Tang
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/95530094135417562239

碩士 === 國立高雄應用科技大學 === 工業工程與管理系碩士班 === 95 === Abstract Since random number generator plays an important role both in academic and practicing fields, the choice of the generator would affect the simulation results directly. This study finds 22 multiplicators of good spectrum values (spectrum value >0.76) that satisfy the full period conditions. they are (3608313284﹐0.7694480)、(2659349696﹐0.7687427)、(2517221091﹐0.7673748)、(3220155949﹐0.7672660)、(3257278523﹐0.768120)、(3035721585﹐0.7667455)、(3743004091﹐0.7663328)、(3262988236﹐0.7660707)、(3565495837﹐0.7654637)、(2755075014﹐0.7654351)、(3376002318﹐0.7644538)、(3567247623﹐0.7642151)、(2687078790﹐0.7639920)、(3390361321﹐0.7637459)、(3164397683﹐0.7631814)、(3170493857﹐0.7629986)、(2769290331﹐0.7628725)、(3802372517﹐0.7625748)、(2882093498﹐0.7621677)、(4438917231﹐0.7614840)、(3637341146﹐0.7614840)、(2892512317﹐0.7601535) ) of 4294967294 spectrums by using exhaustive search. These 22 spectrums possess good statistical properties because they satisfy the properties of spectral test and the full period.