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New Partial Geometric Difference Sets and Partial Geometric Difference Families

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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数学学报

《数学学报》(CN:11-2038/O1)是一本有较高学术价值的大型双月刊,自创刊以来,选题新奇而不失报道广度,服务大众而不失理论高度。颇受业界和广大读者的关注和好评。

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