This repository is a port of the datasets on my website. It contains datasets and existence results on four combinatorial objects I've studied over the years:
- Covering Designs
- Difference Sets
- Circulant Weighing Matrices
- Signed Difference Sets
There is a large literature on all of these but the last, which were defined by me in a recent paper. For mathematical background on some of these objects, see my papers on arXiv.
For each one there is a Jupyter Notebook, Sage code, and one or more json files containing data about the objects. Each notebook describes the corresponding object, and runs through how to access and manipulate the data.
The same data is available on my website as a MySQL database. Both will be available for the near term, but eventually the website will go away, while this is a permanent location for the data.
This is also an experiment in making a FAIR (Findable, Accessible, Interoperable, Reusable) mathematical database (see The FAIR Guiding Principles for scientific data management and stewardship for details. After researching different approaches used by researchers in many different scientific areas, implementing it as a Jupyter Notebook seemed like the best current option.
The repository files may be downloaded and run locally, viewed statically in nbviewer, or run in your browser using binder. The last option may be slow, especially for covering designs, which has a far larger database (2.7GB) than the other datasets.
| Dataset | Nbviewer | binder |
|---|---|---|
| Covering Designs | covering_designs.ipynb |  |
| Difference Sets | difference_sets.ipynb | |
| Circulant Weighing Matricess | circulant_weighing_matrices.ipynb | |
| Signed Difference Sets | signed_difference_sets.ipynb | |
If you encounter any problems with this repository, please report them to dmgordo@gmail.com.