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2013 | OriginalPaper | Chapter
Orthogonal Latin Squares and the Falsity of Euler’s Conjecture
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The problems relating to the existence and construction of orthogonal Latin squares have fascinated researchers for several centuries now. Though many important discoveries have been made, some problems still remain unresolved. Latin squares and orthogonal Latin squares have a beautiful underlying structure and are related to other combinatorial objects. These have applications in different areas, including statistical design of experiments and cryptology. Comprehensive accounts of the theory and applications of Latin squares are available in the books by J. Dénes and A. D. Keedwell (1974, 1991) and C. F. Laywine and G. L. Mullen (1998).