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The Non-Existence of Maximal Sets of Four Mutually Orthogonal Latin Squares of Order 8

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Abstract

We establish the non-existence of a maximal set of four mols (mutually orthogonal Latin squares) of order 8 and the non-existence of (8, 5) projective Hjelmslev planes. We present a maximal set of four mols of order 9.

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Drake, D.A., Myrvold, W. The Non-Existence of Maximal Sets of Four Mutually Orthogonal Latin Squares of Order 8. Designs, Codes and Cryptography 33, 63–69 (2004). https://doi.org/10.1023/B:DESI.0000032607.03637.1c

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  • DOI: https://doi.org/10.1023/B:DESI.0000032607.03637.1c

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