Remark on a 5-Design Related to a Putative Extremal Doubly-Even Self-Dual [96, 48, 20] Code

摘要

In this note, it is shown that if there is a self-orthogonal 5-(96, 20, 816) design, then the rows of its block-point incidence matrix generate an extremal doubly-even self-dual code of length 96. In other words, a putative extremal doubly-even self-dual code of length 96 is generated by the codewords of minimum weight.