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The construction of mutually orthogonal latin squares of order 4t under t≡0 (mod 2)

Chou Wan-xi

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Abstract

A graphic method of constructing mutually orthogonal latin squares of order 4t is proposed. In this paper the thinking of constructing mutually orthogonal latin squares of order 4t under t≡(mod 2) with graphic method is described, the foundamental procedure and result of constructing mutually orthogonal latin square of order 20 are presented.

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A graphic method of constructing mutually orthogonal latin squares of order 4t is proposed. In this paper the thinking of constructing mutually orthogonal latin squares of order 4t under t≡(mod 2) with graphic method is described, the foundamental procedure and result of constructing mutually orthogonal latin square of order 20 are presented.

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Available abstract

A graphic method of constructing mutually orthogonal latin squares of order 4t is proposed. In this paper the thinking of constructing mutually orthogonal latin squares of order 4t under t≡(mod 2) with graphic method is described, the foundamental procedure and result of constructing mutually orthogonal latin square of order 20 are presented.

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

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