Article ID: | iaor20051117 |
Country: | Netherlands |
Volume: | 32 |
Issue: | 4 |
Start Page Number: | 336 |
End Page Number: | 344 |
Publication Date: | Jul 2004 |
Journal: | Operations Research Letters |
Authors: | Appa G., Magos D., Mourtos I. |
Keywords: | Latin squares |
This paper presents an alternative proof for the non-existence of orthogonal Latin squares of order 6. Our method is algebraic, rather than enumerative, and applies linear programming in order to obtain appropriate dual vectors. The proof is achieveable only after extending previously known results for symmetry elimination.