On the non-existence of some Steiner $t$-$(v,k)$ trades of certain volumes
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Mahmoodian and Soltankhah $\cite{MMS}$ conjectured that there does not exist any $t$-$(v,k)$ trade of volume $s_{i}< s <s_{i+1}$, where $s_{i}=2^{t+1}-2^{t-i}, i=0,1,..., t-1$. Also they showed that the conjecture is true for $i=0$. In this paper we prove the correctness of this conjecture for Steiner trades.
7 pages. to appear in Utilitas Mathematica
7 pages. to appear in Utilitas Mathematica