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Self-Orthogonal Diagonal Latin Square with Missing Subsquare

B. Du1
1Department of Mathematics Suzhou University Suzhou 215006 China (PRC)

Abstract

It is proved in this paper that for any integer n136, a SODLS(v,n) (self-orthogonal diagonal Latin square with missing subsquare) exists if and only if v3n+2 and vn even.