Overlarge sets of directed triple systems(有向三元系超大集)

对有向三元系超大集(OLDTS)的存在性进行了讨论.OLDTS(v)存在的必要条件是:v≡0,1(mod 3).文中以拉丁方为辅助设计,采用递归构造的方法得到以下结果:当v≡1,3(mod 6),v≡4(mod 24),v≡24(mod 120)及(诸指数均为非负整数)时,存在OLDTS(v).

Bibliographic Details
Main Authors: TIANZi-hong(田子红), ZHANGJie(张劼)
Format: Article
Language:zho
Published: Zhejiang University Press 2003-05-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/zjup/1008-9497.2003.30.3.248-251
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author TIANZi-hong(田子红)
ZHANGJie(张劼)
author_facet TIANZi-hong(田子红)
ZHANGJie(张劼)
author_sort TIANZi-hong(田子红)
collection DOAJ
description 对有向三元系超大集(OLDTS)的存在性进行了讨论.OLDTS(v)存在的必要条件是:v≡0,1(mod 3).文中以拉丁方为辅助设计,采用递归构造的方法得到以下结果:当v≡1,3(mod 6),v≡4(mod 24),v≡24(mod 120)及(诸指数均为非负整数)时,存在OLDTS(v).
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spelling doaj.art-7d2eff6b07a344c5aa3fe52f5202f5a02024-03-29T01:58:20ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972003-05-01303248251zjup/1008-9497.2003.30.3.248-251Overlarge sets of directed triple systems(有向三元系超大集)TIANZi-hong(田子红)0ZHANGJie(张劼)1 1.Mathematics and Information Science College, Hebei Normal University, Shijiazhuang 050016, China( 1.河北师范大学数学与信息科学学院,河北 石家庄 050016) 2.Beijing University of Posts and Telecommunications, Beijing 100876, China( 2.北京邮电大学北京100876)对有向三元系超大集(OLDTS)的存在性进行了讨论.OLDTS(v)存在的必要条件是:v≡0,1(mod 3).文中以拉丁方为辅助设计,采用递归构造的方法得到以下结果:当v≡1,3(mod 6),v≡4(mod 24),v≡24(mod 120)及(诸指数均为非负整数)时,存在OLDTS(v).https://doi.org/zjup/1008-9497.2003.30.3.248-251有向三元系有向三元系超大集拉丁方
spellingShingle TIANZi-hong(田子红)
ZHANGJie(张劼)
Overlarge sets of directed triple systems(有向三元系超大集)
Zhejiang Daxue xuebao. Lixue ban
有向三元系
有向三元系超大集
拉丁方
title Overlarge sets of directed triple systems(有向三元系超大集)
title_full Overlarge sets of directed triple systems(有向三元系超大集)
title_fullStr Overlarge sets of directed triple systems(有向三元系超大集)
title_full_unstemmed Overlarge sets of directed triple systems(有向三元系超大集)
title_short Overlarge sets of directed triple systems(有向三元系超大集)
title_sort overlarge sets of directed triple systems 有向三元系超大集
topic 有向三元系
有向三元系超大集
拉丁方
url https://doi.org/zjup/1008-9497.2003.30.3.248-251
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