New and Old Values for Maximal MOLS(n)

Ars Combinatoria

Volumn 54, Issue , 2000, Pages 255-258

  Bedford, David ^a   Whitaker, Roger M ^a  

^a KEELE UNIVERSITY   (United Kingdom)

Author keywords

Difference matrix; Group; Latin square; Orthogonal; Orthomorphism

Indexed keywords

EID: 0346342145     PISSN: 03817032     EISSN: 28175204     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. R.J.R. Abel, Four mutually orthogonal latin squares of order 28 and 52, J. Combinatorial Theory (A), 58 (1991), 306-309.
2. D. Bedford, Orthomorphisms and near-orthomorphisms of groups and orthogonal latin squares: a survey, Bulletin of the Institute of Combinatorics and its Applications, 15 (1995) 13-33.
3. T. Beth, D. Jungnickel, H. Lenz, Design Theory, Cambridge University Press, 1985.
4. C. J. Colbourn, W. De Launey, Difference Matrices, in: C.J. Colbourn, J.H. Dinitz eds., The CRC Handbook of Combinatorial Designs, CRC Press, 1996, 287-297.
5. A.B. Evans, Orthomorphism Graphs of Groups, Lecture notes in mathematics 1535, (Springer-Verlag, Berlin-Heidelberg, 1992).
6. A. B. Evans, Maximal sets of MOLS, in: C.J. Colbourn, J.H. Dinitz eds., The CRC Handbook of Combinatorial Designs, CRC Press, 1996, 368-388.
7. D. Jungnickel, G. Grams, Maximal difference matrices of order ≤ 10, Discrete Math. 58, no. 2, (1986) 199-203.
8. T.G. Ostrom, Replaceable nets, net collineations and net extensions, Canad. J. Math. 18, (1966) 666-672.
9. K.A.S. Quinn, A note on difference matrices and orthomorphisms over nonabelian groups, Ars Combinatoria, to appear.
10. R. Roth and M. Peters, Four pairwise orthogonal latin squares of order 24, J. Combinatorial Theory (A), 44 (1987), 152-155.
11. R. M. Wilson, private communication, September 1998.