On the non-existence of some Steiner $t$-$(v,k)$ trades of certain volumes

Mehri Asgari, Nasrin Soltankhah

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 $s_i=2^{t+1}-2^{t-i},i=0,1,...,t-1$. Als…