Weighted external difference families and R-optimal AMD codes
MetadataShow full item record
Altmetrics Handle Statistics
Altmetrics DOI Statistics
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.
Huczynska , S & Paterson , M 2019 , ' Weighted external difference families and R-optimal AMD codes ' , Discrete Mathematics , vol. 342 , no. 3 , pp. 855-867 . https://doi.org/10.1016/j.disc.2018.11.009
Copyright © 2018 Elsevier B.V. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1016/j.disc.2018.11.009
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.