Geodesic
Construction, properties and applications of finite neofields
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 283-297

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We give a short account of the construction and properties of left neofields. Most useful in practice seem to be neofields based on the cyclic group and particularly those having an additional divisibility property, called {\it D-neofields}. We shall give examples of applications to the construction of orthogonal latin squares, to the design of tournaments balanced for residual effects and to cryptography.
Classification : 05B15, 05B30, 12K99, 20N05, 94A60
Keywords: neofield; loop; orthomorphism; complete mapping; orthogonal latin squares; cryptography; balanced round robin tournament 
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Keedwell, A. D. Construction, properties and applications of finite neofields. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 283-297. http://geodesic.mathdoc.fr/item/CMUC_2000__41_2_a7/