The minimum possible volume size of it μ-way (v, k, t) trades

A mu-way (v, k, t) trade is a pair T = (X, {T-1, T2 ...,T-mu}) such that for each t -subset of v -set X the number of blocks containing this t -subset is the same in each T, (1 < i < it). In the other words for each 1 < i < j <,, (X, {T,,T,}) is a (v, k, t) trade. There are many questions concerning p. -way trades. The main question is about the minimum volume and minimum foundation size of pt -way (v, k, t) trades. In this paper, we determine the minimum volume and minimum foundation size of p. -way (v,t 1, t) trades for each integer number mu > 3 and t = 2.