Direct constructions for certain types of HMOLS

Discrete Mathematics

Volumn 181, Issue 1-3, 1998, Pages 1-17

  Abel, R Julian R ^a   Zhang, Hantao ^b  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b University of Iowa   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007123929     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(97)00021-6     Document Type: Article

References (11)

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2. R.J.R. Abel, D.T. Todorov, Four Mutually Orthogonal Latin Squares of orders 20, 30, 38 and 44, J. Combin. Theory A 64 (1993) 144-148.
3. l, Discrete Math., to appear.
4. T. Beth, D. Jungnickel, H. Lenz, Design Theory, Cambridge University Press, Cambridge, 1986.
5. R.C. Bose, S.S. Shrikhande, E.T. Parker, Further results on the construction of mutually orthogonal latin squares and the falsity of Euler's conjecture, Canad. J. Math. 12 (1960) 189-203.
6. A.E. Brouwer, G.H.J. van Rees, More mutually orthogonal latin squares, Discrete Math. 39 (1982) 263-281.
7. C.J. Colbourn, Construction techniques for mutually orthogonal latin squares, in: Combinatorics Advances, Kluwer Academic Publishers, to appear.
8. J.H. Dinitz, D.R. Stinson, MOLS with Holes, Discrete Math. 44(1983) 145-154.
9. n, Discrete Math. 89 (1991) 231-251.
10. D.R. Stinson, L. Zhu, On the existence of MOLS with equal sized holes, Aequat. Math. 33(1987) 96-105.
11. R.M. Wilson, A few more squares, Proc. 5th S-E Conf. on Combinatorics, Graph Theory Comput. (1974) 675-680.