Embedding in MDS codes and Latin cubes

DOI10.1002/jcd.21849zbMath1529.05029arXiv2109.14962OpenAlexW3202734945MaRDI QIDQ6146216

Vladimir N. Potapov

Publication date: 5 February 2024

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.14962

zbMATH Keywords

embeddingLatin squareMOLSMDS codeLatin cube

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial codes (94B25)

Cites Work

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• Strong forms of orthogonality for sets of hypercubes
• On the finite completion of partial latin cubes
• Embedding partial Latin squares in Latin squares with many mutually orthogonal mates
• Embedding in \(q\)-ary 1-perfect codes and partitions
• A polynomial embedding of pairs of orthogonal partial Latin squares
• Embedding Incomplete Latin Squares
• Embedding Orthogonal Partial Latin Squares
• On the number of SQSs, latin hypercubes and MDS codes
• Constructing and embedding mutually orthogonal Latin squares: reviewing both new and existing results

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