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Atomic Latin Squares based on Cyclotomic Orthomorphisms

Wanless, Ian


Atomic latin squares have indivisible structure which mimics that of the cyclic groups of prime order. They are related to perfect 1-factorisations of complete bipartite graphs. Only one example of an atomic latin square of a composite order (namely 27) was previously known. We show that this one example can be generated by an established method of constructing latin squares using cyclotomic orthomorphisms in finite fields. The same method is used in this paper to construct atomic latin squares...[Show more]

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
Source: Journal of Combinatorics


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