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An Algorithm to Construct Super-Symmetric Latin Squares of Order 2n

Journal: International Journal of Research in Information Technology (IJRIT) (Vol.1, No. 4)

Publication Date:

Authors : ;

Page : 38-50

Keywords : Combinatorics; Design theory; Graph theory; Latin Square; Super-symmetry;

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Literature shows that there are several ways of generating Latin squares, but there is not enough implementation about Supersymmetric Latin squares. This paper proposes a mathematical algorithm to construct Super-symmetric Latin squares of order 2 by substituting blocks of order 2n which has the basic properties of a recursive algorithm. The proposed algorithm was tested for a large number of orders and the results proved that the algorithm could be generalized for any input order n where n is a positive integer.

Last modified: 2013-05-05 19:48:41