Resolvable generalized difference matrices: Existence and applications

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• 作者：Chengmin Wang^a ; ^{wcm@jiangnan.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Jie Yan^b ; Jianxing Yin^c
• 关键词：05B20 ; 05B15
• 刊名：Finite Fields and Their Applications
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：42
• 期：Complete
• 页码：39-56
• 全文大小：412 K

文摘

Difference matrices, elsewhere also called difference schemes, form a useful tool in the construction of various interesting combinatorial objects such as orthogonal arrays. In this paper, we introduce the concept of a resolvable generalized difference matrix (RGDM) of strength t. The task of the paper is to study the existence and applications of RGDMs. As a result, many new classes of RGDMs are presented. In addition, some approaches of constructing 2-compatible CDPs by using RGDMs of strength three are established. With those constructions, we are able to make a big improvement on the known existence of orbit-disjoint CDPs.