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

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

2008-06-09

arxiv.org/abs/0806.1390v1

Mathematics

Combinatorics

7 pages. to appear in Utilitas Mathematica

Scientific paper

Mahmoodian and Soltankhah $\cite{MMS}$ conjectured that there does not exist
any $t$-$(v,k)$ trade of volume $s_{i}< s $s_{i}=2^{t+1}-2^{t-i}, i=0,1,..., t-1$. Also they showed that the conjecture
is true for $i=0$. In this paper we prove the correctness of this conjecture
for Steiner trades.

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