论文信息 - A short disproof of Euler's conjecture based on quasi-difference matrices and difference matrices

A short disproof of Euler's conjecture based on quasi-difference matrices and difference matrices

Abstract In this note, two classes of quasi-difference matrices, ( 2 n + 2 , 4 ; 1 , 1 ; n ) -QDM and ( 4 n + 1 , 4 ; 1 , 1 ; 2 n − 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.

Kun Wang | Kejun Chen

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