A generalization of the singular direct product with applications to skew room squares

DOI10.1016/0097-3165(80)90025-4zbMath0461.05013OpenAlexW1977307261MaRDI QIDQ1152371

Ronald C. Mullin

Publication date: 1980

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(80)90025-4

zbMATH Keywords

skew room squares

Mathematics Subject Classification ID

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

Related Items

Incomplete conjugate orthogonal idempotent Latin squares, On the existence of MOLS with equal-sized holes, Pairwise balanced designs with block sizes \(6t+1\), Room squares with holes of sides 3, 5, and 7, Coverings pairs by quintuples: The case v congruent to 3 (mod 4), A skew Room square of order 129, On the existence of frames, Pairwise balanced designs with odd block sizes exceeding five, Further results on incomplete (3,2,1)-conjugate orthogonal idempotent Latin squares, The spectrum of room cubes, Generalized steiner triple systems with group size five, On the spectrum of resolvable orthogonal arrays invariant under the Klein group \(K_ 4\), The spectra of a variety of quasigroups and related combinatorial designs, The spectrum of Room cubes, Doubly diagonal orthogonal Latin squares, Orthogonal Latin squares with subsquares

Cites Work

• On the existence of frames
• Sub-Latin squares and incomplete orthogonal arrays
• A recursive construction for Room designs
• An existence theory for pairwise balanced designs. I: Composition theorems and morphisms
• Some Results on the Existence of Squares
• Construction of Quasigroups Using the Singular Direct Product
• An Algebraic Construction for Room Squares
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item