On the existence of 3-way k-homogeneous Latin trades

Behrooz Bagheri Gh., Diane Donovan, E. S. Mahmoodian

A {\sf $\mu$-way Latin trade} of volume $s$ is a collection of $\mu$ partial Latin squares $T_1,T_2,...,T_{\mu }$, containing exactly the same $s$ filled cells, such that if cell $(i,j)$ i…