orthogonal Latin squares

orthogonal Latin squares

[ȯr¦thäg·ən·əl ¦lat·ən ′skwerz]
(mathematics)
Two Latin squares which, when superposed, have the property that the cells contain each of the possible pairs of symbols exactly once.
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References in periodicals archive ?
Latin squares and Mutual Orthogonal Latin Squares (MOLS) are ancient devices found useful in selecting subset of factor combinations from complete set.
Orthogonal orthomorphisms have been used in construction of mutually orthogonal Latin squares (MOLS).
Among their topics are heterogeneous hash families and covering arrays, optimal block lengths for secret key distillation, blocking sets and large transversal-free systems of mutually orthogonal Latin squares, incidence matrices with forbidden configurations, geometric constructions of quantum codes, blocking sets and low-weight code words in the generalized Reed-Muller codes, perfect codes over non-prime power alphabets, and the minimum output symbol error variance of forward error control codes.
Orthogonal Latin squares play an important role in the development of the theory of Latin squares.

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