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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… Click to show full abstract
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) .
Keywords:
constructions pairs;
orthogonal latin;
latin cubes;
pairs orthogonal
Journal Title: Journal of Combinatorial Designs
Year Published: 2020
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Journal Title: Journal of Combinatorial Designs
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!