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- W2799193408 abstract "In this paper, we provide a mathematical framework for characterizing AMD codes that are R-optimal. We introduce a new combinatorial object, the reciprocally-weighted external difference family (RWEDF), which corresponds precisely to an R-optimal weak AMD code. This definition subsumes known examples of existing optimal codes, and also encompasses combinatorial objects not covered by previous definitions in the literature. By developing structural group-theoretic characterizations, we exhibit infinite families of new RWEDFs, and new construction methods for known objects such as near-complete EDFs. Examples of RWEDFs in non-abelian groups are also discussed." @default.
- W2799193408 created "2018-05-07" @default.
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- W2799193408 date "2018-05-03" @default.
- W2799193408 modified "2023-09-27" @default.
- W2799193408 title "Weighted external difference families and R-optimal AMD codes" @default.
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