Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Nantong University(Natural Science Edition)》 2018-02
Add to Favorite Get Latest Update

Existence of Simple Orthogonal Multi-array SOMA(4, n)

ZHANG Yanyan;LI Yun;WANG Su;School of Sciences,Nantong University;Basic Teaching Institute,Nantong Institute of Technology;Nantong University Xinglin College;  
Let k 0 and n ≥ 2 be integers. A simple orthogonal multi-array SOMA(k, n) is an n × n array A each of whose entries is a k-subset of a kn-set S of symbols, such that every symbol of S occurs exactly once in each row and exactly once in each column of A, and every 2-subset of S is contained in at most one entry of A. In this note, it is summarized that the latest results of the existence of a SOMA(k, n) and explain the relationship between it and mutually orthogonal Latin squares, and by direct construction show that there exists a SOMA(4, n) for n ≥ 5.And further research questions are also put forward.
【Fund】: 国家自然科学基金项目(11371207)
【CateGory Index】: O151.21
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved