Title
Concerning the number of mutually orthogonal latin squares
Abstract
Let N(n) denote the maximum number of mutually orthogonal Latin squares of order n. It is shown that for large n, N(n)=n117-2 In addition to a known number-theoretic result, the proof uses a new combinatorial construction which also allows a quick derivation of the existence of a pair of orthogonal squares of all orders n 14. In addition, it is proven that N(n) = 6 whenever n 90.
Year
DOI
Venue
1974
10.1016/0012-365X(74)90148-4
Discrete Mathematics
Field
DocType
Volume
Discrete mathematics,Orthogonal array,Combinatorics,Graeco-Latin square,Mathematics
Journal
9
Issue
ISSN
Citations 
2
Discrete Mathematics
35
PageRank 
References 
Authors
39.42
0
1
Name
Order
Citations
PageRank
Richard M. Wilson1697340.86