Constructing tt-designs from tt-wise balanced designs

We give a construction for obtaining a tt-design from a tt-wise balanced design. More precisely, given a positive integer kk and a tt-(v,{k1,k2,…,ks},λ)(v,{k1,k2,…,ks},λ) design DD, with all block-sizes kiki occurring in DD and 1≤t≤k≤k1