Hi all, I have just finished attending the 5th International Conference on Combinatorics, where I spoke about my Sage computations with Cayley graphs of bent functions, and the new inclusion of SQL database support for this project. For background info, see "Classifying bent functions" below. The accompanying paper on arXiv is out of date, and still needs to be completed, and the Sage and Python code still needs work, especially doctests. Any advice or help on how to proceed at this point is welcome. I am especially looking for advice on long-term publicly accessible hosting of large (TB size) relational databases, as well as advice on how to incorporate parts of my work into Sage proper. All the best, Paul
- Classifying bent functions <https://drive.google.com/open?id=0BynZQtPnxGf-RXloSDBnUzc2bzg>, University of Melbourne, 2017. - Yet another database of strongly regular graphs <https://drive.google.com/open?id=1_84z9BkPeY8l-uuwH4VLNSsKG_fuDKhR>, 5ICC <https://www.monash.edu/5icc/>, Monash University, 2017. (Highlights, other than the prototype databases, include a proof that two of the 10 published Extended Affine classes of bent functions of degree 3 in 8 dimensions are actually the same class, and evidence that 8 of the 256 bent functions that define the 8 S-boxes of CAST-128 have more symmetry than the other 248 functions do.) - Paul Leopardi, "Classifying <https://sites.google.com/site/paulleopardi/research/goog_573028086>bent functions by their Cayley graphs". Preprint: <https://sites.google.com/site/paulleopardi/research/goog_1283422221>arXiv:1705.04507 [math.CO] <https://arxiv.org/abs/1705.04507>, updated July 2017. Explores the connections between bent functions and their Cayley graphs, as well as projective two-weight linear codes, and symmetric designs with the symmetric difference property, through various equivalence classes. Includes exhaustive classifications of bent functions up to 8 dimensions and degree 3, with selected examples of degree 4. SageMath code: Boolean-Cayley-graphs: Investigations of Boolean functions, their Cayley graphs, and associated structures. - CoCalc: public folder of worksheets, source code and data files <https://cocalc.com/projects/80f4c9e7-8a37-4f59-82e7-aa179ec0b652/files/Boolean-Cayley-graphs/> . - GitHub: Git repository of source code, data and papers. <https://github.com/penguian/Boolean-Cayley-graphs> - SourceForge: Documentation of Python modules in HTML format. <https://boolean-cayley-graphs.sourceforge.io/> -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-devel@googlegroups.com. Visit this group at https://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/d/optout.
