Posts by Natalia Makarova

1) Message boards : News : Processing of the square # 5 completed (Message 1560) Posted 4 Jan 2022 by Natalia Makarova Post: Currently, rating of known for us squares of order 12 located is here. Thanks.
2) Message boards : News : The Square 12/30192/3855983322 finally confirmed! (Message 1559) Posted 4 Jan 2022 by Natalia Makarova Post: I repeat: I gave an explanation of my experiment here https://boinc.multi-pool.info/latinsquares/forum_thread.php?id=133&postid=3218 - Starting from August 26, 2021, the Gerasim@Home project began processing it and the square itself became freely accessible due to the fact that it can be easy read from each of 1.2 million workunits. Starting from this date, I have no opportunity to call other declarations of this square as discoveries. The appearance of a square of 1.2 million workunits is not an official publication. The square was officially published by Vatutin in the OEIS on September 27, 2021. The square was also independently found by me and published on the forum on September 27, 2021. https://boinc.multi-pool.info/latinsquares/forum_thread.php?id=138&postid=3056 (You can compare the time of these publications). I am not announcing this as my discovery. The square was found and on October 1, 2021, an experiment was launched to search for ODLS to this DLS. It was an independent experiment.
3) Message boards : News : Processing of the square # 5 completed (Message 1550) Posted 31 Dec 2021 by Natalia Makarova Post: Hello! … has 1212560768 orthogonal diagonal Latin squares (ODLS) and it took the third place in the "rating" of 12th order squares with maximum number of ODLS. Interesting to see your "rating" of 12th order squares with maximum number of ODLS. The rating obtained in my project is shown here https://boinc.multi-pool.info/latinsquares/forum_thread.php?id=133&postid=3178
4) Message boards : News : The Square 12/30192/3855983322 finally confirmed! (Message 1549) Posted 31 Dec 2021 by Natalia Makarova Post: Hello! On November 11, a sudden help came - information appeared (Ru) that one of the active participants of distributed computing from the Russia Team - CoolAtchOk, using programs based on the algorithm of Alexey Belyshev (whitefox), processed the square of Eduard, obtained a value that coincides with that obtained as a result of recalculation on October 24 - 27. I want to add that this was an independent experiment as part of my manual project to investigate the properties of ODLS of order 12. CoolAtchOk is the technical executor of this experiment. He helped me with many technical calculations. See https://boinc.multi-pool.info/latinsquares/forum_thread.php?id=133&postid=3218 The resulting record result was entered into the OEIS on November 11 of this year, as soon as it was obtained by CoolAtchOk in this experiment. http://oeis.org/A287695 a(12) >= 3855983322. The result belongs to DLS, which has 30192 diagonal transversals. Calculations performed by a volunteer. - Natalia Makarova, Tomáš Brada, Nov 11 2021 The experiment used the Tomáš Brada program (ODLS search in parts). As shown by this experiment and a similar previous experiment, this program is very effective. It is also important to note that in my experiment all ODLS are found and published here https://disk.yandex.ru/d/9qa_dvLbM6MJlw These ODLS can be used for further research.
5) Message boards : News : New experiment in RakeSearch (Message 1539) Posted 11 Dec 2021 by Natalia Makarova Post: Hello! There was another answer to this example 0123456789AB123498B5A0675..... 26700 Hi! Yes, a non-zero number indicates there have been found ODLSs in this task. From this answer, I understand that the number 26700 here means the number of ODLSs.
6) Message boards : News : New experiment in RakeSearch (Message 1537) Posted 10 Dec 2021 by Natalia Makarova Post: Hello! May I know what the project is looking for: transversals, D-transversals or ODLS of order 12? The first challenge is to beat the current record on the number of transversals for DLSs of order 12. We already have tasks for the next 2 months, and there will be more. 0123456789AB123498B5A0675..... 26700 What does the number 26700 mean?