×
Schellenberg, P. J.; Stinson, D. R.; Vanstone, S. A.; Yates, J. W.

The existence of Howell designs of side n+1 and order 2n. (English) Zbl 0491.05015

Combinatorica 1, 289-301 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0491.05015

Cited in 6 Documents

MSC:

05B15 Orthogonal arrays, Latin squares, Room squares
05B30 Other designs, configurations

Keywords:

Howell designs; Room squares
Cite Review PDF
Full Text: DOI

References:

[1] R. C. Bose, S. S. Shrikhande andE. T. Parker, Further results on the construction of mutually orthogonal Latin squares and the falsity of Euler’s conjecture,Can. J. Math. 12 (1960), 189–203. · Zbl 0093.31905 · doi:10.4153/CJM-1960-016-5
[2] R. K. Brayton, D. Coppersmith andA. J. Hoffman, Self-orthogonal Latin squares of all ordersn, 3, 6.Bull. AMS 80 (1974), 116–118. · Zbl 0277.05011 · doi:10.1090/S0002-9904-1974-13379-3
[3] M. Hall, Jr.,Combinatorial Theory, Blaisdell, Waltham, Mass. (1967). · Zbl 0196.02401
[4] S. H. Y. Hung andN. S. Mendelsohn, On Howell designs,J. Combinatorial Theory (A) 16 (1974), 174–198. · Zbl 0272.05021 · doi:10.1016/0097-3165(74)90043-0
[5] R. C. Mullin andW. D. Wallis, The existence of Room squaresAequationes Math. 13 (1975), 1–7. · Zbl 0315.05014 · doi:10.1007/BF01834113
[6] A. Rosa, P. J. Schellenberg andS. A. Vanstone, Generalized starter and adder constructions for Howell designs,Proc. 10th Southeastern Conf. on Combinatorics, Graph Theory and Computing (vol. II), Boca Raton, Fla. (1979), 833–842. · Zbl 0426.05011
[7] A. Sade, Produit direct-singulier de quasigroupes orthogonaux et anti abéliens,Ann. Soc. Sci. Bruxelles, Sér. I,74 (1960), 91–99. · Zbl 0100.02204
[8] S. M. P. Wang andM. Wilson, A few more squares, II (abstract),Proc. 9th Southeastern Conf. on Combinatorics, Graph Theory and Computing, Boca Raton, Fla. (1978), 688.
[9] B. A. Anderson, P. J. Schellenberg andD. R. Stinson, The existence of Howell designs of even side,preprint. · Zbl 0527.05013
[10] D. R. Stinson, The existence of Howell designs of all side, J. Combinatorial Theory,to appear. · Zbl 0472.05012
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.