Journal of Jishou University(Natural Sciences Edition)

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Some Results of the Construction of Sudoku-Based Uniform Designs

LI Hongyi,OU Zujun   

  1. (1.Normal College of Jishou University,Jishou 416000,Hunan China;2.College of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China;3.College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)
  • Online:2017-01-25 Published:2017-01-17

Abstract:

The analytic relations of discrete discrepancy among Sudoku-based uniform design and its sub-designs are studied.A lower bound of discrete discrepancy for mixed-level designs is obtained.Based on Sudoku design and quasi-level method,the construction of mixed-level uniform designs measured by discrete discrepancy is discussed.

Key words: Sudoku design;discrete discrepancy;quasi-level;uniform design, mixed-level

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