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Partial geometric difference sets and partial geometric difference families
Authors:Yanxun Chang  Fengzhao Cheng  Junling Zhou
Institution:Institute of Mathematics, Beijing Jiaotong University, Beijing 100044, China
Abstract:The concept of a partial geometric difference set (or 112-difference set) was introduced by Olmez in 2014. Recently, Nowak, Olmez and Song introduced the notion of a partial geometric difference family, which generalizes both the classical difference family and the partial geometric difference set. It was shown that partial geometric difference sets and partial difference families give rise to partial geometric designs. In this paper, a number of new infinite families of partial geometric difference sets and partial geometric difference families are constructed. From these partial geometric difference sets and difference families, we generate a list of infinite families of partial geometric designs.
Keywords:Directed strongly regular graph  Partial geometric design  Partial geometric difference family  Partial geometric difference set
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