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The last two perfect Mendelsohn designs with block size 5
Author(s) -
Griggs Terry S.,
Kozlik Andrew R.
Publication year - 2020
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.21749
Subject(s) - mathematics , combinatorics , block size , block (permutation group theory) , arithmetic , computer science , key (lock) , computer security
We complete the existence spectrum of perfect Mendelsohn designsPMD( v , 5 ) as v ≡ 0 , 1( mod 5 ) , v ≠ 6 , 10 by exhibiting previously unknown designsPMD( 15 , 5 ) andPMD( 20 , 5 ) .