Spread Construction for (36,15,6) Hadamard Difference Sets
Combinatorics
2024-02-14 v1
Abstract
There are exactly 35 inequivalent (36, 15, 6) difference sets in nine groups. Eight of the nine groups have a normal Sylow 3-subgroup. We give a straightforward spread construction which explains the 32 inequivalent difference sets in these eight groups. An interesting variation on this construction provides the three difference sets in the ninth group.
Cite
@article{arxiv.2402.08503,
title = {Spread Construction for (36,15,6) Hadamard Difference Sets},
author = {Ken Smith and Jordan Webster},
journal= {arXiv preprint arXiv:2402.08503},
year = {2024}
}