Huczynska, S. and Paterson, Maura B. (2018) Weighted external difference families and R-optimal AMD codes. Technical Report. Birkbeck, University of London, London, UK.
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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.
Metadata
| Item Type: | Monograph (Technical Report) |
|---|---|
| Additional Information: | Birkbeck Pure Mathematics Preprint Series #40 |
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Administrator |
| Date Deposited: | 22 Mar 2019 09:58 |
| Last Modified: | 09 Aug 2023 12:46 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/26787 |
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