A Series of Separable Designs with Application to Pairwise Orthogonal Latin Squares
نویسندگان
چکیده
منابع مشابه
New bounds for pairwise orthogonal diagonal Latin squares
A diagonal Latin square is a Latin square whose main diagonal and back diagonal are both transversals. Let dr be the least integer such that for all n > dr there exist r pairwise orthogonal diagonal Latin squares of order n. In a previous paper Wallis and Zhu gave several bounds on the dr. In this paper we shall present some constructions of pairwise orthogonal diagonal Latin squares and conseq...
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A diagonal Latin square is a Latin square whose main diagonal and back diagonal are both transversals. In this paper we give some constructions of pairwise orthogonal diagonal Latin squares. As an application of such constructions we obtain some new infinite classes of pairwise orthogonal diagonal Latin squares which are useful in the study of pairwise orthogonal diagonal Latin squares.
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 1980
ISSN: 0195-6698
DOI: 10.1016/s0195-6698(80)80019-9