There are infinitely many Williams squares with circular structure and order a multiple of 4

DOI10.1007/S00373-013-1342-8zbMath1408.05021OpenAlexW2160073521MaRDI QIDQ742639

Devin T. Willmott, M. A. Ollis

Publication date: 19 September 2014

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-013-1342-8

zbMATH Keywords

Latin squarecircular structuregenerating arrayneighbour balancerepeated measurements designWilliams square

Mathematics Subject Classification ID

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

Cites Work

• Sequences in groups with distinct partial products
• Some new row-complete latin squares
• An investigation of Williams designs with circular structure
• Complete Latin squares of order \(p^n\) exist for odd primes \(p\) and \(n>2\)
• Sequenceable groups and related topics.
• Optimal repeated measurements designs for correlated observations and analysis by weighted least squares
• Some repeated measurements designs
• Row-complete latin squares of every composite order exist
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