This git repository contains a collection of resources relating to a combinatorial problem described in the web page template file 'template.html'. On a Linux system with the right libraries installed (e.g. install packages 'publib-dev' and 'libglpk-dev' on Ubuntu), running 'make' will build a linear-programming based exhaustive search program which you can run by typing (for example) './main 3 2'. An ILP-based and less rigorous search program (though faster for large m) is in 'partition.py', and expects the 'lp_solve' program on your path (install package 'lp-solve' on Ubuntu). The 'data' subdirectory contains all output we have so far collected from both of those programs, and 'tabulate.py' generates the full web page from template.html and that data. bounds.py is a Python library module which finds the best upper bound we can prove.