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  3. denition: an orthogonal array oa(k, n) on n symbol

Denition: An orthogonal array OA(k, n) on n symbols is an n2 x k array such that,...

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Denition:
An orthogonal array OA(k, n) on n symbols is an n2 x karray such that, in any two columns, each ordered pair of symbolsoccurs exactly once.
Prove that there exists an OA(k, n) if and only if there exist (k -2) mutually orthogonal Latin squares of order n.

(combinatorics and design)

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A Latin square of order n is an n n array with symbols in such that each row and each column contains each of the symbolsin exactly    See Answer
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