Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423748 | Electronic Notes in Discrete Mathematics | 2016 | 6 Pages |
Abstract
We provide a triple of diagonal Latin squares of order 10 that is the closest to being a triple of mutually orthogonal diagonal Latin squares found so far. It was obtained by constructing all orthogonal mates for diagonal Latin squares generated according to a specific scheme. We also show that a triple of mutually orthogonal diagonal Latin squares of order 10 cannot be constructed based on diagonal Latin squares from specific families.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Oleg Zaikin, Alexey Zhuravlev, Stepan Kochemazov, Eduard Vatutin,