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.
- Extremal doubly-even salf-dual code
ASJC Scopus subject areas
- Computer Science Applications
- Applied Mathematics