Sufficient conditions for STS$(3^k)$ of 3-rank $\le 3^k-r$ to be resolvable

Yaqi Lu, Minjia Shi

Based on the structure of non-full-$3$-rank $STS(3^k)$ and the orthogonal Latin squares, we mainly give sufficient conditions for $STS(3^k)$ of $3$-rank $\le 3^k-r$ to be resolvab…