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- W2884611861 abstract "Almost designs ($t$-adesigns) were proposed and discussed by Ding as a certain generalization of combinatorial designs related to almost difference sets. Unlike $t$-designs, it is not clear whether $t$-adesigns need also be $(t-1)$-designs or $(t-1)$-adesigns. In this paper we discuss a particular class of 3-adesigns, i.e., 3-adesigns coming from certain strongly regular graphs and tournaments, and find that these are also $2$-designs. We construct several classes of these, and discuss some of the restrictions on the parameters of such a class. We also construct several new classes of 2-adesigns, and discuss some of their properties as well." @default.
- W2884611861 created "2018-08-03" @default.
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- W2884611861 date "2018-07-26" @default.
- W2884611861 modified "2023-09-27" @default.
- W2884611861 title "Almost Designs and Their Links with Balanced Incomplete Block Designs" @default.
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- W2884611861 doi "https://doi.org/10.48550/arxiv.1807.10008" @default.
- W2884611861 hasPublicationYear "2018" @default.
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