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A Class of 2‐(3 n 7, 3 n −1 7, (3 n −1 7−1)/2) Designs
Author(s) -
Tonchev Vladimir D.
Publication year - 2007
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.20133
Subject(s) - mathematics , combinatorics , hadamard transform , class (philosophy) , hadamard matrix , residual , algorithm , computer science , mathematical analysis , artificial intelligence
Generalized Hadamard matrices are used for the construction of a class of quasi‐residual nonresolvable BIBD's with parameters $2\hbox{-}(3^{n}7, 3^{n-1}7, (3^{n-1}7-1)/2), n\ge 2$ . The designs are not embeddable as residual designs into symmetric designs if n is even. The construction yields many nonisomorphic designs for every given n ≥ 2, including more than 10 17 nonisomorphic 2‐(63,21,10) designs. © 2006 Wiley Periodicals, Inc. J Combin Designs 15: 460–464, 2007