In this paper, we present examples of codes all of whose weight classes support 1-designs, with duals whose classes include two that support 2-designs. We can find these examples in the triply even binary codes of length 48, which have been classified by Betsumiya and Munemasa.
- harmonic weight enumerator
- support designs
- triply even binary codes
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics