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- W1975183968 abstract "Doubly Regular Asymmetric Digraphs (DRAD) with rank 4 automorphism groups were previously thought to be rare. We exhibit difference sets in Galois Rings that can be used to construct an infinite family of DRADs with rank 4 automorphism groups. In addition, we construct difference sets in groups Z 2 r 2 for all r ⩾ 2 that can be used to construct DRADs and nonsymmetric 3-class imprimitive association schemes. Finally, we prove a new product construction for difference sets so that the resulting difference sets can be used to build nonsymmetric 3-class imprimitive association schemes." @default.
- W1975183968 created "2016-06-24" @default.
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- W1975183968 date "2010-07-01" @default.
- W1975183968 modified "2023-09-29" @default.
- W1975183968 title "Difference set constructions of DRADs and association schemes" @default.
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- W1975183968 doi "https://doi.org/10.1016/j.jcta.2009.11.007" @default.
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