Results of search for Latin Squares

Message boards : Science : Results of search for Latin Squares

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Hi all, | |

ID: 289 | Rating: 0 | rate:
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Hi all, For this experiment we used the following strategy. We started from aproximation of the triple - 1st square is orthogonal to 2nd and 3rd squares, 2nd and 3rd squares were not orthogonal at all. After it we tried to find triples with 50 orthogonal cells between 2nd and 3rd squares, then for 60 and so on. Finaly in the best triple we found 2nd and 3rd squares were orthogonal in 71 cells (from 100). In fact we failed to find something better and because of it this experiment was aborted. We will try to find triple of MOLS of order 10 by another approach. We will start from currently best approximation of such triple, it was found by prof. Wanles. In this triple 1st square is orthogonal to 2nd and 3rd squares, 2nd and 3rd squares are partly orthogonal - they has 91 different cells combinations from 100 needed. We will use local search strategy to find better approximation. This experiment will be started in March, I hope so. Right now I prepare experiment aimed to solve hard cryptanalysis problems for Bibium cipher. This problem partly discussed in our arxiv paper. | |

ID: 291 | Rating: 0 | rate:
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Results of search for Latin Squares

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