最优乘子的估计

计算物理 ›› 1990, Vol. 7 ›› Issue (3): 371-374.

最优乘子的估计

李作新¹, 卢庆堂²

1. 中国科学院沈阳计算技术研究所 110003;
2. 沈阳鼓风机厂

收稿日期:1989-04-16 修回日期:1990-03-31 出版日期:1990-09-25 发布日期:1990-09-25

AN ESTIMATE OF OPTIMAL MULTIPLICATOR

Li Zuoxin¹, Lu Qingtang²

1. Shenyang Institute of Computing Technology Academia Sinica;
2. Shenyang Blower Works

Received:1989-04-16 Revised:1990-03-31 Online:1990-09-25 Published:1990-09-25

摘要/Abstract

摘要： 在乘同余法中,以K素数为模,选该模的不同原根为乘子,得到称为LiG的优良伪随机数序列集发生器。用在此情况下伪随机数整体的均匀偏度为定量判据,给出以2³¹-1为模时最优乘子的估计。

关键词: LiG, 原根, 偏度, 带分区替代法

Abstract: Take a modulo of large primitive number, then choose different primitive roots as multiplicators of the modulo, get a generator of sequence sets of good PRN, it is called LiG, This paper presents an estimate of optimal multiplicate with the modulo 2³¹-1 by whole sample deviation formula of PRN in the case of mentioned above.

Key words: Li generator, primitive roots, deviation, substitution of separated, regions of bands (SSRB)

李作新, 卢庆堂. 最优乘子的估计[J]. 计算物理, 1990, 7(3): 371-374.

Li Zuoxin, Lu Qingtang. AN ESTIMATE OF OPTIMAL MULTIPLICATOR[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 7(3): 371-374.