A Framework for Constructing Partial Geometric Difference Sets

James A. Davis,Oktay Olmez

Designs, Codes, and Cryptography（2018）CCF BSCI 2区SCI 3区

Department of Math and CS

被引用10|浏览26

摘要

Partial geometric difference sets (PGDSs) were defined in Olmez (J Combin Des 22(6):252–269, 2014). They are used to construct partial geometric designs. We use the framework of extended building sets to find infinite families of PGDSs in abelian groups. Included in our new families of PGDSs are generalizations of the Hadamard, McFarland, Spence, Davis-Jedwab, and Chen difference sets.

更多

查看译文

关键词

Difference sets,Partial geometric difference sets,Partial geometric designs,Building sets,Extended building sets