If you want to know that the code generated by the rows of a block-point incidence matrix of a self-orthogonal 3-(56,12,65) design is a doubly-even self-dual code of length 56, that the code words of minimum weight generate an extremal doubly-even self-dual code of length 56, and that there exist at least 1,151 inequivalent extremal doubly-even self-dual codes of length 56, then this paper is for you.

In spite of the apparent complexity of the notation, the paper is surprisingly easy to read, even for a nonmathematician. All of the concepts are explained in easy-to-understand language. Nevertheless, the paper is a purely theoretical mathematics exposition. The authors make no attempt to even suggest that there might be practical applications at this time. I know of no such applications either. Still, even though I am not officially a mathematician, I enjoyed reading the paper and believe that others interested in designs and codes might find something of interest in the paper as well. An appendix provides complete lists of vectors for six nonequivalent codes.