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All v(3, t)'s exist for 3t + 1 a prime
Author(s) -
Van Rees G. H. J.
Publication year - 1995
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.3180030604
Subject(s) - mathematics , combinatorics , idempotence , prime (order theory) , order (exchange) , pairwise comparison , latin square , statistics , chemistry , rumen , food science , finance , fermentation , economics
The existence of a V(3, t ), for any prime 3 t +1 is proved constructively. A V(m,t ) is equivalent to m idempotent pairwise orthogonal Latin squares of order ( m +1) t + 1 with one hole of order t . © 1995 John Wiley & Sons, Inc.