On the classification of skew Hadamard matrices of order $36$ and related structures

All Hadamard matrices, codes and association schemes are listed in Magma format.


157132 SH-inequivalent skew Hadamard matrices of order 36

20848 inequivalent ternary self-dual codes of length 36 and minimum weight 9

133131 inequivalent ternary self-dual codes of length 36 and minimum weight 6

2793032 non-isomorphic nonsymmetric association schemes of order 35 and class 2 (gzip)
Note: only $A_1$ in $\{A_0,A_1,A_2\}$ are listed, because $A_0=I, A_0+A_1+A_2=J$.