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Existence of Five MOLS of Orders 18 and 60
Author(s) -
Abel R. Julian R.
Publication year - 2015
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21384
Subject(s) - mathematics , latin square , orthogonal array , combinatorics , matrix (chemical analysis) , algebra over a field , pure mathematics , statistics , rumen , chemistry , food science , materials science , taguchi methods , fermentation , composite material
Abstract In this article, we provide direct constructions for five mutually orthogonal Latin squares (MOLS) of orders v = 18 and 60. For v = 60 , these come from a new (60, 6, 1) difference matrix. For v = 18 , the required construction is obtained by combining two different methods that were used in the constructions of four MOLS(14) and eight MOLS(36).