Formation of orthogonal latin squares by index structuring of n-set multiplication tables
نویسندگان
چکیده
منابع مشابه
Nearly Orthogonal Latin Squares
A Latin square of order n is an n by n array in which every row and column is a permutation of a set N of n elements. Let L = [li,j ] and M = [mi,j ] be two Latin squares of even order n, based on the same N -set. Define the superposition of L onto M to be the n by n array A = (li,j ,mi,j). When n is even, L and M are said to be nearly orthogonal if the superposition of L onto M has every order...
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The enumeration of self-orthogonal Latin squares (SOLS) of a given order seems to be an open problem in the literature on combinatorial designs. The existence of at least one SOLS is guaranteed for any order except 2, 3 and 6, but it is not known how many of these squares of a given order exist. In this talk we present enumeration tables of unequal SOLS, idempotent SOLS, isomorphism classes of ...
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ژورنال
عنوان ژورنال: Herald of Dagestan State Technical University. Technical Sciences
سال: 2020
ISSN: 2542-095X,2073-6185
DOI: 10.21822/2073-6185-2020-47-3-71-81