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国家自然科学基金(10831002): 作品数：17被引量：19H指数：3; 导出分析报告; 相关作者：范秉理梁海燕宋建民单秀玲更多>>; 相关机构：北京交通大学石家庄经济学院河北师范大学更多>>; 相关期刊：《科学技术与工程》《Science China Mathematics》《Acta Mathematicae Applicatae Sinica》《科技导报》更多>>; 相关主题：CONSTRUCTIONSV大集三元系W更多>>; 相关领域：理学自动化与计算机技术电子电信自然科学总论更多>>

Maximum two-dimensional (u×v,4,1,3)-OOCs被引量：2: 《Applied Mathematics(A Journal of Chinese Universities)》2013年第3期279-289,共11页HUANG Yue-mei CHANG Yan-xun; Supported by the National Natural Science Foundation of China(61071221,10831002); Let Ф（u ×v, k, Aa, Ac） be the largest possible number of codewords among all two- dimensional （u ×v, k, λa, λc） optical orthogonal codes. A 2-D （u× v, k, λa, λ）-OOC with Ф（u× v, k, λa, λc） codewor...; 关键词：MAXIMUM two-dimensional optical orthogonal code orbit.

Existence of Weakly Pandiagonal Orthogonal Latin Squares: 《Acta Mathematica Sinica,English Series》2013年第6期1089-1094,共6页Yong ZHANG Wen LI Jian Guo LEI; Supported by National Natural Science Foundation of China(Grant Nos.61071221,10831002,11071207 and 11201407);Natural Science Foundation of Jiangsu Higher Education Institutions of China(Grant No.12KJD110007);Natural Science Foundation of Jiangsu Province(Grant No.BK2012245); A weakly pandiagonal Latin square of order n over the number set {0, 1, . . . , n-1} is a Latin square having the property that the sum of the n numbers in each of 2n diagonals is the same. In this paper, we shall pro...; 关键词：Latin square weakly pandiagonal Knut Vik design

An approach of constructing mixed-level orthogonal arrays of strength≥3被引量：4: 《Science China Mathematics》2013年第6期1109-1115,共7页JIANG Ling YIN JianXing; supported by National Natural Science Foundation of China (Grant Nos.11271280 and 10831002); Orthogonal arrays (OAs), mixed level or fixed level (asymmetric or symmetric), are useful in the design of various experiments. They are also a fundamental tool in the construction of various combinatorial configurati...; 关键词：orthogonal array MIXED-LEVEL STRENGTH CONSTRUCTIONS

On the Covering Number c_λ(3,W_4^((3)),v)被引量：1: 《Acta Mathematicae Applicatae Sinica》2012年第4期631-638,共8页Yan WU Yan-xun CHANG; Supported by the National Natural Science Foundation of China (No.10771013 and 10831002); Abstract A t-hyperwhesl （t 〉 3） of length l （or Wz（t） for brevity） is a t-uniform hypergraph （V, E）, where t E= {e1,e2,...,el} and vl,v2,...,vt are distinct vertices of V = Ui=1 ei such that for i= 1,...,1, ...; 关键词：t-（v Г λ） covering EXCESS covering number candelabra （F t）-system

Detecting Arrays and Their Optimality被引量：3: 《Acta Mathematica Sinica,English Series》2011年第12期2309-2318,共10页Yu TANG Jian Xing YIN; Supported by National Natural Science Foundation of China （Grant Nos. 10801104 and 10831002）; Detecting arrays were proposed by Colbourn and McClary in 2008, which are of interest in generating software test suites to cover all t-sets of component interactions and detect interaction faults in component-based s...; 关键词：Detecting arrays interaction faults BOUNDS OPTIMALITY CONSTRUCTIONS

Constructions of optimal difference systems of sets被引量：2: 《Science China Mathematics》2011年第1期173-184,共12页FAN CuiLing LEI JianGuo SHAN XiuLing; supported by National Natural Science Foundation of China (Grant Nos.10771051,10831002); Difference systems of sets (DSSs) are combinatorial configurations which were introduced in 1971 by Levenstein for the construction of codes for synchronization. In this paper, we present two kinds of constructions of...; 关键词：difference system of sets code synchronization OPTIMAL disjoint difference family difference set

λ-fold indecomposable large sets of Steiner triple systems被引量：1: 《Science China Mathematics》2010年第11期2877-2888,共12页JI LiJun1, TIAN ZiHong2, & KANG QingDe2 1Department of Mathematics, Suzhou University, Suzhou 215006, China 2College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China; supported by National Natural Science Foundation of China (Grant Nos.10971051, 10701060, 10831002);Qing Lan Project of Jiangsu Province, China; A family (X, B1), (X, B2), . . . , (X, Bq) of q STS(v)s is a λ-fold large set of STS(v) and denoted by LSTSλ(v) if every 3-subset of X is contained in exactly λ STS(v)s of the collection. It is indecomposable and d...; 关键词：STEINER TRIPLE SYSTEM large SET candelabra SYSTEM INDECOMPOSABLE

Large Sets of Pure Directed Triple Systems with Index λ被引量：1: 《Acta Mathematica Sinica,English Series》2010年第10期1899-1914,共16页Bing Li FAN Jun Ling ZHOU; Supported by National Natural Science Foundation of China (Grant Nos. 10771013 and 10831002); A directed triple system of order v with index λ, briefly by DTS（v,λ）, is a pair （X, B） where X is a v-set and B is a collection of transitive triples （blocks） on X such that every ordered pair of X belongs to...; 关键词：Large set directed triple system PURE

单纯Hybrid三元系大集的三倍构作被引量：1: 《科学技术与工程》2010年第23期5698-5700,5704,共4页范秉理; 国家自然科学基金项目(10831002)资助; 一个v阶Hybrid三元系,记作HTS（v）,是一个对子（X,B）,其中X是v元集,B是X中循环三元组和可迁三元组的集合（称作区组）,满足X的每个有序对都恰包含于B中一个区组。设（X,B）是一个没有重复区组的HTS（v）,如果区组集{（x,y,z）,（z,y,x...; 关键词：三元系大集单纯 HYBRID

单纯Hybrid三元系大集的四倍构作: 《科学技术与工程》2010年第23期5701-5704,共4页范秉理; 国家自然科学基金项目(10831002)资助; 一个t阶Hybrid三元系,记作HTS（t）,是一个对子（X,B）,其中X是t元集,B是X中循环三元组和可迁三元组的集合（称作区组）,满足X的每个有序对都恰包含于B中一个区组。设（X,B）是一个没有重复区组的HTS（t）,如果区组集{（x,y,z）,（z,y,x...; 关键词：三元系大集单纯 HYBRID

国家自然科学基金(10831002)