Bounds on the maximum number of Latin squares in a mutually quasi-orthogonal set
نویسندگان
چکیده
منابع مشابه
Concerning the number of mutually orthogonal latin squares
Let N(n) denote the maximum number of mutually orthogonal Latin squares of order n. It is shown that for large n,
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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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Superimposed codes is a special combinatorial structure that has many applications in information theory, data communication and cryptography. On the other hand, mutually orthogonal latin squares is a beautiful combinatorial object that has deep connection with design theory. In this paper, we draw a connection between these two structures. We give explicit construction of mutually orthogonal l...
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Using Hadamard matrices and mutually orthogonal Latin squares, we construct two new quasi-symmetric designs, with parameters 2 − (66, 30, 29) and 2− (78, 36, 30). These are the first examples of quasisymmetric designs with these parameters. The parameters belong to the families 2− (2u2−u, u2−u, u2−u−1) and 2− (2u2 +u, u2, u2−u) which are related to Hadamard parameters. The designs correspond to...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2001
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(00)00307-1