It is proved in this paper that for any integer \(n \geq 136\), a SODLS(\(v, n\)) (self-orthogonal diagonal Latin square with missing subsquare) exists if and only if \(v \geq 3n+2\) and \(v-n\) even.
Citation
B. Du. Self-Orthogonal Diagonal Latin Square with Missing Subsquare[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 037. 193-203. DOI: .
