Decompositions of complete 3-uniform hypergraphs into cycles of constant prime length

A complete 3-uniform hypergraph of order n has vertex set V with |V | = n and the set of all 3-subsets of V as its edge set. A t-cycle in this hypergraph is v1, e1, v2, e2, . . . , vt, et, v1 where v1, v2, . . . , vt are distinct vertices and e1, e2, . . . , et are distinct edges such that vi, vi+1 ei for i {1, 2, . . . , t -1} and vt, v1 et