Uniform Semi-Latin Squares and Their Schur-Optimality

DOI10.1002/jcd.21300zbMath1248.05022OpenAlexW1537421830MaRDI QIDQ2909598

Leonard H. Soicher

Publication date: 30 August 2012

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

Full work available at URL: https://doi.org/10.1002/jcd.21300

zbMATH Keywords

mutually orthogonal Latin squarestransitive permutation groupssemi-Latin squaresSchur-optimality

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (4)

Uniform semi-Latin squares and their pairwise-variance aberrations ⋮ Constructions for regular-graph semi-Latin rectangles with block size two ⋮ Designs, Groups and Computing ⋮ Substitutes for the non-existent square lattice designs for 36 varieties

Uses Software

• GAP
• DESIGN

Cites Work

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• Symmetric factorial designs in blocks
• Semi-Latin squares
• Optimality of some two-associate-class partially balanced incomplete- block designs
• On the structure and classification of SOMAs: Generalizations of mutually orthogonal Latin squares
• Theory of optimal designs
• The Non-Existence of Finite Projective Planes of Order 10
• The Non-Existence of Certain PBIB Designs
• Design of Comparative Experiments
• Optimum continuous block designs
• Optimal semi-Latin squares with side six and block size two
• Construction and optimality of affine-resolvable designs

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