About RakeSearch project

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.

Some pairs of the found squares are published on this page. 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 Gerasi@Home project, related to graphs of orthogonal diagonal Latin squares:

Conference talks and research papers presenting the results of the project:

2019

2017



©2021 The searchers team, Karelian Research Center of the Russian Academy of Sciences