Construction of Sudoku designs and Sudoku-based uniform designs |
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| Affiliation: | 1. College of Mathematics and Statistics, Jishou University, China;2. Normal College, Jishou University, China;3. College of Physical Science and Technology, Central China Normal University, China;1. Dipartimento di Fisica “G. Occhialini”, Universitá di Milano-Bicocca, Milano, Italy;2. Istituto di Fisica del Plasma, Consiglio Nazionale delle Ricerche, Milano, Italy;3. Max-Planck-Institut für Plasmaphysik, Garching, Germany;4. Universitá degli Studi di Padova, Padova, Italy;5. Consorzio RFX, Padova, Italy |
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| Abstract: | In this paper, an easy and effective construction method of Sudoku designs with any order is provided based on the right shift operator. Based on the constructed Sudoku designs, a class of Sudoku-based uniform designs is constructed. Moreover, the properties of the constructed Sudoku designs and Sudoku-based uniform designs are investigated, it is shown that both the constructed Sudoku designs and Sudoku-based uniform designs are uniform designs in terms of discrete discrepancy. |
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| Keywords: | Discrete discrepancy Right shift operator Sudoku design Uniformity |
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