Incomplete idempotent Schröder quasigroups and related packing designs

DOI10.1007/BF01831143zbMath0844.05027MaRDI QIDQ1909661

Yanyan Li

Publication date: 18 August 1996

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137633

zbMATH Keywords

packing designsSchröder quasigroup

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Combinatorial aspects of packing and covering (05B40)

Related Items (6)

Latin squares with self-orthogonal conjugates ⋮ On colored designs. I ⋮ The existence of Schröder designs with equal-sized holes ⋮ Holey Schröder designs of type \(3^n u^1\) ⋮ Super-simple, pan-orientable, and pan-decomposable BIBDs with block size 4 and related structures ⋮ Schröder quasigroups with a specified number of idempotents

Cites Work

• Existence of orthogonal Latin squares with aligned subsquares
• On the existence of MOLS with equal-sized holes
• Edge-coloured designs with block size four
• On the construction of Schroeder quasigroups
• Quasigroups and tactical systems
• Optimal packings of \(K_4\)'s into a \(K_n\)
• Automated reasoning and exhaustive search: Quasigroup existence problems
• Mols with holes
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