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  • Constructions of pairs of o...
    Potapov, Vladimir N.

    Journal of combinatorial designs, August 2020, 2020-08-00, 20200801, Volume: 28, Issue: 8
    Journal Article

    A pair of orthogonal latin cubes of order q is equivalent to a maximum distance separable code with distance 3 or to an OA1(3,5,q) orthogonal array. We construct pairs of orthogonal latin cubes for sequences of previously unknown orders qi=16(18i−1)+4 and qi′=16(18i+5)+4. The minimal new obtained parameters of orthogonal arrays are OA1(3,5,84).