Construction of Fair Dice Pairs
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Published:2019-05-17
Issue:5
Volume:7
Page:440
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ISSN:2227-7390
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Container-title:Mathematics
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language:en
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Short-container-title:Mathematics
Author:
Huang YongORCID,
Zeng ZhenbingORCID,
Rao YongshengORCID,
Zou Yu,
Wang Ying,
Huang Xing
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.
Funder
National Natural Science Foundation of China
Guangdong Provincial Engineering and Technology Research Center
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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