A Class of 2‐(3  n  7, 3  n −1 7, (3  n −1 7−1)/2) Designs | Zendy

Tonchev Vladimir D. | Zendy

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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

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