We show how one can use non-prime-power, composite moduli for
computing representations of the product of two $n\times n$ matrices
using only $n^{2+o(1)}$ multiplications.
In ECCC report TR03-058
(http://www.eccc.uni-trier.de/eccc-reports/2003/TR03-058/index.html)
we strongly improved the results of this report.