The enormous size of the diagonal Latin squares space makes it unfeasible to enumerate all its objects straightforwardly in reasonable time. So, in order to discover the structure of this space, sophisticated search methods are needed. In RakeSearch project, we implement an application that picks up separate pairs of mutually orthogonal DLSs, which allows to reconstruct full graphs of their orthogonality.
In the Publications section, you can read the research papers and presentations on RakeSearch.
The discovered graphs of orthogonal diagonal Latin squares are published on this page.
Archive of search on the space of diagonal Latin squares of Rank 9 (R9):
Archive of search on the space of diagonal Latin squares of Rank 10 (R10):
SAT-CMS-based search of diagonal Latin squares of Rank 10:
Joint search of ODLS9 with Gerasim project:
Another results of Gerasim@Home project, related to graphs of orthogonal diagonal Latin squares:
©2023 The searchers team, Karelian Research Center of the Russian Academy of Sciences