An update to my previous <https://groups.google.com/forum/#!searchin/sage-devel/%22bent$20functions%22|sort:date/sage-devel/bkr8FhbcoGw/P7N6xkseAgAJ> posts <https://groups.google.com/forum/#!searchin/sage-devel/bent$20functions%7Csort:date/sage-devel/h_z0vmMeJ5Q/PHUL6NW2CAAJ> .
So far my project to classify bent functions by their Cayley graphs has resulted in the following. - The paper "Classifying bent functions by their Cayley graphs", submitted to INTEGERS: The Electronic Journal of Combinatorial Number Theory. https://arxiv.org/abs/1705.04507 - A prototype Bent function - Cayley graph virtual laboratory using a PostgreSQL relational database, hosted by NeCTAR <https://nectar.org.au/research-cloud/>. This contains Cayley graph classifications of all of the extended affine equivalence classes of bent functions mentioned in the paper, except for the partial spread bent functions. This acts as a temporary (until June 2019) database of supplementary material for the paper. In particular, the CAST-128 database contains 32 914 496 non-isomorphic stongly regular graphs with parameters (256,120,56,56) or (256,136,72,72), obtained from 63 GB of sobj files. http://vm-130-56-248-117.nci.org.au/bfcg/ - The Boolean-Cayley-graphs source code repository, including the Python boolean_cayley_graphs module and LaTeX source of all related papers and presentations. https://github.com/penguian/Boolean-Cayley-graphs - Documentation of the Python boolean_cayley_graphs module. Doctest coverage is 100% except for functions that use MPI. http://vm-130-56-248-117.nci.org.au/ https://boolean-cayley-graphs.sourceforge.io/ - The Boolean-Cayley-graphs public directory on CoCalc, based on the source code repository https://cocalc.com/projects/80f4c9e7-8a37-4f59-82e7-aa179ec0b652/files/Boolean-Cayley-graphs/ - Cayley graph classifications of all of the 5442 extended affine equivalence classes of partial spread (+) bent functions and classifications of 5631 of the 9316 extended affine equivalence classes of partial spread (-) bent functions in 8 dimensions. This comprises 4.7TB of sobj files. These are stored on the NCI Massdata store attached to Raijin, as well as the /g/data file system <http://nci.org.au/systems-services/data-storage/>. My ambition is to complete this classification, and produce a semi-permanent multi-Terabyte public database of bent function Cayley graph classifications, including all 14 758 partial spread bent functions, and up to about 2 billion non-isomorphic strongly regular Cayley graphs, *possibly* hosted by Australian Research Data Commons <https://www.ands-nectar-rds.org.au/>. Right now this is unlikely, because I am employed by the Bureau of Meteorology rather than an Australian university. Anyone who wants to examine the Sage and Python code is welcome to do so. I am especially interested in anyone who wants to help with the multi-Terabyte database and hosting effort, and anyone who wants to study the statistics of billions of non-isomorphic strongly regular graphs. -- 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.
