Construction of Fair Dice Pairs

Yong Huang, Zhenbing Zeng, Yongsheng Rao, Yu Zou, Ying Wang and Xing Huang
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Yong Huang: Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China
Zhenbing Zeng: Department of Mathematics, Shanghai University, Shanghai 200444, China
Yongsheng Rao: Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China
Yu Zou: Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China
Ying Wang: Department of Network Technology, South China Institute of Software Engineering, Guangzhou 510990, China
Xing Huang: Department of Mathematics, Changzhou Institute of Technology, Changzhou 213022, China

Mathematics, 2019, vol. 7, issue 5, 1-13

Abstract: An interesting and challenging problem in mathematics is how to construct fair dice pairs. In this paper, by means of decomposing polynomials in a residue class ring and applying the Discrete Fourier Transformation, we present all the 2000 fair dice pairs and their 8 equivalence classes in a four-person game, identifying what we call the mandarin duck property of fair dice pairs.

Keywords: fair dice pairs; discrete Fourier transformation; discrete convolution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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