Title: Strongly regular decompositions and symmetric association schemes of a power of two,
Abstract: For any positive integer $m$, the complete graph on $2^{2m}(2^m+2)$ vertices
is decomposed into $2^m+1$ commuting strongly regular graphs, which give rise
to a symmetric association scheme of class $2^{m+2}-2$. Furthermore, the
eigenmatrices of the symmetric association schemes are determined explicitly.
As an application, the eigenmatrix of the commutative strongly regular
decomposition obtained from the strongly regular graphs is derived.