Constructions of composite T-matrices

In this paper we prove that if there are strongly disjoint T-matrices of order t and suitable T-matrices of order t′, there are T-matrices of order tt′. We also show that there exist strongly disjoint T-matrices of order t=73,79,113 and (2m+p), p odd, where m+p,m+p,m,m are lengths of base sequences, and give some new constructions of suitable T-matrices of order t=9,13,17,19,21,25. This generalizes the work of [13].