On the Distances between Latin Squares and the Smallest Defining Set Size

DOI10.1002/jcd.21529zbMath1362.05026OpenAlexW3022165933MaRDI QIDQ5346574

Nicholas J. Cavenagh, Reshma Ramadurai

Publication date: 26 May 2017

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

Full work available at URL: https://hdl.handle.net/10289/11068

zbMATH Keywords

Hamming distanceLatin squaredefining setcritical setLatin trade

Mathematics Subject Classification ID

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

Cites Work

• 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
• The theory and application of latin bitrades: A survey
• 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
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