A series of separable designs with application to pairwise orthogonal Latin squares

DOI10.1016/S0195-6698(80)80019-9zbMath0472.05013OpenAlexW2080856338MaRDI QIDQ1158156

Andries E. Brouwer

Publication date: 1980

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(80)80019-9

zbMATH Keywords

Baer subplanesorthogonal Latin squaresseparable pairwise balanced block designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of finite geometries (05B25)

Related Items

Relative difference sets partitioned by cosets, Pairwise balanced designs with odd block sizes exceeding five, On sets with few intersection numbers in finite projective and affine spaces, Balanced incomplete block designs with block size 8, Unnamed Item, Mutually orthogonal Latin squares: A brief survey of constructions, Ovals and hyperovals in nets, Sets with few intersection numbers from Singer subgroup orbits, Perfect Mendelsohn designs with block size six, On the existence of (v,7,1)-perfect Mendelsohn designs, Quintessential PBDs and PBDs with prime power block sizes ≥ 8, Existence of \((2,8) GWhD(v)\) and \((4,8) GWhD(v)\) with \(v \equiv 0,1 \pmod 8\), Existence of OBIBDs with \(k=4\) with and without nesting, Concerning seven and eight mutually orthogonal Latin squares, Fermat curves over finite fields and cyclic subsets in high-dimensional projective spaces, Self-dual sets

Cites Work

• Affine embeddings of Sylvester-Gallai designs
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• Unnamed Item
• Unnamed Item
• Unnamed Item