Premium
Embedding a latin square in a pair of orthogonal latin squares
Author(s) -
Jenkins Peter
Publication year - 2006
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20087
Subject(s) - latin square , mathematics , orthogonal array , combinatorics , idempotence , embedding , square (algebra) , order (exchange) , statistics , computer science , geometry , artificial intelligence , chemistry , rumen , food science , finance , taguchi methods , fermentation , economics
In this paper, it is shown that a latin square of order n with n ≥ 3 and n ≠ 6 can be embedded in a latin square of order n 2 which has an orthogonal mate. A similar result for idempotent latin squares is also presented. © 2005 Wiley Periodicals, Inc. J Combin Designs 14: 270–276, 2006