The existence of Howell designs of odd side

DOI10.1016/0097-3165(82)90064-4zbMath0472.05012OpenAlexW4210296312MaRDI QIDQ1158155

Douglas R. Stinson

Publication date: 1982

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(82)90064-4

zbMATH Keywords

orthogonal Latin squaresHowell designsroom squares

Mathematics Subject Classification ID

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

Related Items

On generalized Howell designs with block size three, On Nonisomorphic Room Squares, The existence of Howell designs of even side, Generalized packing designs, On the existence of three dimensional room frames and Howell cubes, Orthogonal one-factorizations of complete multipartite graphs, The existence of skew Howell designs of side 2n and order \(2n+2\), The existence of Howell designs of side n+1 and order 2n, On existence of two classes of generalized Howell designs with block size three and index two, Optimal multiply constant-weight codes from generalized Howell designs, Optimal doubly constant weight codes, Room square patterns, On strong starters in cyclic groups, Some new resolvable GDDs with \(k = 4\) and doubly resolvable GDDs with \(k = 3\), Howell designs with sub-designs, Scheduling CCRR tournaments

Cites Work

• The existence of Howell designs of even side
• Some howell designs of prime side
• On Howell designs
• Some Howell designs of prime side. II
• The existence of Howell designs of side n+1 and order 2n
• The existence of Room squares
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• Self-orthogonal latin squares of all orders 𝑛≠2,3,6
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