基于Doubling的补设计的空间填充性

doi:10.13438/j.cnki.jdzk.2025.04.006

吉首大学学报（自然科学版） ›› 2025, Vol. 46 ›› Issue (4): 38-43.DOI: 10.13438/j.cnki.jdzk.2025.04.006

基于Doubling的补设计的空间填充性

吴越,谢佳艳,李洪毅

(吉首大学数学与统计学院,湖南吉首 416000)

出版日期:2025-07-25 发布日期:2025-08-05
作者简介:吴越(2001—),女,江西南昌人,吉首大学数学与统计学院硕士研究生,主要从事试验设计与应用统计研究
基金资助:
国家自然科学基金地区项目(12161040);湖南省自然科学基金面上项目(2023JJ30486);湖南省教育厅重点项目(22A0355)

Space-Filling Property of Complementary Design Based on Doubling

WU Yue,XIE Jiayan,LI Hongyi

(College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)

Online:2025-07-25 Published:2025-08-05

摘要/Abstract

摘要：以二水平等距设计为对象,基于可卷型L₂-偏差、广义字长型及Hamming距离,讨论了二水平等距设计中子设计的double设计与补设计之间的解析关系.

关键词： 可卷型L₂-偏差, 广义字长型, double设计, 补设计

Abstract: Taking two-level equidistant designs as the research objects,based on the wrap-around L₂-discrepancy,the generalized wordlength pattern,and the Hamming distance,we discuss the analytical relationship between the double design and the complementary design of the sub-designs in two-level equidistant designs.

Key words: wrap-around L₂-discrepancy, generalized wordlength pattern, double design, complementary design

吴越, 谢佳艳, 李洪毅. 基于Doubling的补设计的空间填充性[J]. 吉首大学学报（自然科学版）, 2025, 46(4): 38-43.

WU Yue, XIE Jiayan, LI Hongyi. Space-Filling Property of Complementary Design Based on Doubling[J]. Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 38-43.

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基于Doubling的补设计的空间填充性

Space-Filling Property of Complementary Design Based on Doubling

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