Generalized Sylvester-type Hadamard matrices

In this paper, we generalize Sylvester's construction for (generalized) Hadamard matrices in such a way that m matrices B/sub 1/, B/sub 2/, ..., B/sub m/ (not necessarily distinct) of the same size k and a matrix C of size m are used as components to construct a (generalized) Hadamard matrix of size mk.