  A 3-way $(v,k,t)$ trade $T$ of volume $m$ consists of three pairwise disjoint
collections $T_1$, $T_2$ and $T_3$, each of $m$ blocks of size $k$, such that
for every $t$-subset of $v$-set $V$, the number of blocks containing this
$t$-subset is the same in each $T_i$ for $1\leq i\leq 3$. If any $t$-subset of
found($T$) occurs at most once in each $T_i$ for $1\leq i\leq 3$, then $T$ is
called 3-way $(v,k,t)$ Steiner trade. We attempt to complete the spectrum
$S_{3s}(v,k)$, the set of all possible volume sizes, for 3-way $(v,k,2)$
Steiner trades, by applying some block designs, such as BIBDs, RBs, GDDs,
RGDDs, and $r\times s$ packing grid blocks. Previously, we obtained some
results about the existence some 3-way $(v,k,2)$ Steiner trades. In particular,
we proved that there exists a 3-way $(v,k,2)$ Steiner trade of volume $m$ when
$12(k-1)\leq m$ for $15\leq k$ (Rashidi and Soltankhah, 2016). Now, we show
that the claim is correct also for $k\leq 14$.
