作者:Jerod; MICHELpartialgeometricdesigncyclotomicclassdirectedstronglyregulargraphdifferencesetfamily
摘要:Using Galois rings and Galois fields, we construct several infinite classes of partial geometricdifference sets, and partial geometric difference families, with new parameters. Furthermore, thesepartial geometric difference sets (and partial geometric difference families) correspond to new infinitefamilies of directed strongly regular graphs. We also discuss some of the links between partially balanceddesigns, 2-adesigns (which were recently coined by Cunsheng Ding in "Codes from Difference Sets"(2015)), and partial geometric designs, and make an investigation into when a 2-adesign is a partialgeometric design.
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