Some new constructions of orthogonal designs

In this paper we construct OD(4pq(q+1); pq, pq, pq, pq, pq, pq, pq, pq) for each core order q ≡ 3(mod 4), r ≥ 0 or q = 1, p odd, p ≤ 21 and p ∈ {25, 49}, and COD(2q(q + 1); q, q, q, q) for any prime power q ≡ 1(mod 4) (including q = 1), r ≥ 0.