Article ID Journal Published Year Pages File Type
4648201 Discrete Mathematics 2012 14 Pages PDF
Abstract

In this paper, we investigate the existence of two self-orthogonal Latin squares of order vv (2-SOLS(v)). It is found that 2-SOLS(v) exist for all v≥7v≥7 except possibly for v∈{10,12,14,18,21,22,24,30,34}v∈{10,12,14,18,21,22,24,30,34}. A number of sets of 2 incomplete SOLS (2 ISOLS) (and hence also 4 incomplete mutually orthogonal Latin squares, briefly 4 IMOLS) are also given.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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