摘要: Abstract Two Latin squares of order n are r -orthogonal if their superposition produces exactly distinct ordered pairs. If one the two is transpose other, we say that square -self-orthogonal, denoted by - SOLS ( ) . It has been proved Xu and Chang necessary sufficient condition for existence an ≤ 2 ∉ { + 1 , − } with 26 genuine exceptions possible exceptions. In this paper, provide 25 new to reduce from one, i.e., = 14 3 We also idempotent incomplete self-orthogonal (ISOLS) a hole size 8.
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