Article ID Journal Published Year Pages File Type
8903064 Discrete Mathematics 2018 6 Pages PDF
Abstract
In this note, two classes of quasi-difference matrices, (2n+2,4;1,1;n)-QDM and (4n+1,4;1,1;2n−1)-QDM, are constructed. Combining the known results of quasi-difference matrices and difference matrices, a new short disproof of Euler's conjecture on mutually orthogonal Latin squares is given.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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A short disproof of Euler's conjecture based on quasi-difference matrices and difference matrices
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