1984Journal of Information and Optimization SciencesRequires access

Some Constructions of Sets of Mutuallykn-Orthogonal Latin Squares of Ordern

Gaetano Quattrocchi

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Abstract

Generalizing a Bose-Chakravarti-Knuth’s method of constructing sets of mutually orthogonal latin squares [3], we give a method of constructing sets of mutually kn-orthogonal latin squares of order n with 1 <k≤n. With the same method, suitably adjusted, we can construct sets of mutually kn-orthogonal n×m latin rectangles (with n≥ m and 1

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Generalizing a Bose-Chakravarti-Knuth’s method of constructing sets of mutually orthogonal latin squares [3], we give a method of constructing sets of mutually kn-orthogonal latin squares of order n with 1 <k≤n. With the same method, suitably adjusted, we can construct sets of mutually kn-orthogonal n×m latin rectangles (with n≥ m and 1

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Available abstract

Generalizing a Bose-Chakravarti-Knuth’s method of constructing sets of mutually orthogonal latin squares [3], we give a method of constructing sets of mutually kn-orthogonal latin squares of order n with 1 <k≤n. With the same method, suitably adjusted, we can construct sets of mutually kn-orthogonal n×m latin rectangles (with n≥ m and 1

Key concepts: Order (exchange), Mathematics, Latin square, Combinatorics, Orthogonal array, Statistics, Economics, Chemistry

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