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- W4313443339 abstract "We introduce the concept of a disjoint partial difference family (DPDF) and an external partial difference family (EPDF), a natural generalization of the much-studied disjoint difference family (DDF), external difference family (EDF) and partial difference set (PDS). We establish properties and indicate connections to other recently-studied combinatorial structures. We show how DPDFs and EPDFs may be formed from PDSs, and present various cyclotomic constructions for DPDFs and EPDFs. As part of this, we develop a unified cyclotomic framework, which yields some known results on PDSs, DDFs and EDFs as special cases." @default.
- W4313443339 created "2023-01-06" @default.
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- W4313443339 date "2023-03-01" @default.
- W4313443339 modified "2023-09-25" @default.
- W4313443339 title "Internal and external partial difference families and cyclotomy" @default.
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- W4313443339 doi "https://doi.org/10.1016/j.disc.2022.113295" @default.
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