On Jm-Hadamard matrices

In this paper, we use the Sylvester's approach to construct another Hadamard matrix, namely a Jm-Hadamard matrix, from a given one. Consequently, we can generate other 2m-1 Hadamard matrices from the constructed Jm-Hadamard matrix. Finally, we also discuss the Kronecker product of an Hadamard matrix and a Jm-Hadamard matrix.