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

Authors:
David A. Drake;Wendy Myrvold
Affiliations:
Department of Mathematics, University of Florida, Gainesville, FL 32611, U.S.A. dad@math.ufl.edu;Department of Computer Science, University of Victoria, Victoria, British Columbia, Canada V8W 3P6 wendym@cs.uvic.ca
Venue:
Designs, Codes and Cryptography
Year:
2004

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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.