On the distances between Latin squares and the smallest defining set size

DOI10.1016/j.endm.2016.09.004zbMath1356.05019arXiv1602.07734OpenAlexW2275576332MaRDI QIDQ510525

Reshma Ramadurai, Nicholas J. Cavenagh

Publication date: 13 February 2017

Full work available at URL: https://arxiv.org/abs/1602.07734

zbMATH Keywords

Hamming distanceLatin squaredefining setcritical setLatin trade

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Cites Work

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• Most Latin squares have many subsquares
• The minimum size of critical sets in latin squares
• Critical sets in back circulant latin squares
• Distances of group tables and Latin squares via equilateral triangle dissections
• Completing Latin squares: Critical sets
• A superlinear lower bound for the size of a critical set in a latin square
• Hamming distances of groups and quasi-groups