Balanced arrays from quadratic functions

被引：1
|
作者：
Fuji-Hara, R
Miyamoto, N
机构：
[1] Univ Tsukuba, Tsukuba, Ibaraki 3058573, Japan
[2] Univ Tsukuba, Grad Sch Syst Management, Tokyo 1120012, Japan
来源：
JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2000年 / 84卷 / 1-2期
关键词：
D O I：
10.1016/S0378-3758(99)00112-3
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
There is a famous construction of orthogonal arrays by Bose (1947, Sankhya 8, 107-166). Thr construction uses linear transformations over a finite field. We generalize this method by considering non-linear functions instead of linear transformations and a subset of a vector space as their domains. We show here constructions of orthogonal and balanced arrays by using quadratic functions over finite fields of even prime power orders. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：285 / 293
页数：9
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