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A note on orthogonal sets of hypercubes
Author(s) -
Evans Anthony B.
Publication year - 1997
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/(sici)1520-6610(1997)5:3<231::aid-jcd6>3.0.co;2-g
Subject(s) - hypercube , mathematics , combinatorics , orthogonal array , modulo , latin square , latin hypercube sampling , cayley graph , table (database) , order (exchange) , discrete mathematics , statistics , computer science , taguchi methods , graph , rumen , chemistry , food science , finance , fermentation , monte carlo method , economics , data mining
Mutually orthogonal sets of hypercubes are higher dimensional generalizations of mutually orthogonal sets of Latin squares. For Latin squares, it is well known that the Cayley table of a group of order n is a Latin square, which has no orthogonal mate if n is congruent to 2 modulo 4. We will prove an analogous result for hypercubes. © 1997 John Wiley & Sons, Inc. J Combin Designs 5: 231–233, 1997