Details

Autor(en) / Beteiligte

• Ionin, Yury J.
• Mackenzie-Fleming, Kirsten

Titel

A technique for constructing non-embeddable quasi-residual designs

Ist Teil von

• Journal of combinatorial designs, 2002, Vol.10 (3), p.160-172

Ort / Verlag

New York: Wiley Subscription Services, Inc., A Wiley Company

Erscheinungsjahr

2002

Quelle

Wiley Online Library Journals Frontfile Complete

Beschreibungen/Notizen

• We propose a technique for constructing two infinite families of non‐embeddable quasi‐residual designs as soon as one such design satisfying certain conditions exists. The main tools are generalized Hadamard matrices and balanced generalized weighing matrices. Starting with a specific non‐embeddable quasi‐residual 2‐(27,9,4) design, we construct for every positive integer m a non‐embeddable 2‐(3m,3m−1,(3m−1−1)/2)‐design, and, if rm=(3m−1)/2 is a prime power, we construct for every positive integer n a non‐embeddable $2-(3^m(r^n_m-1)/(r_m-1), 3^{m-1}r^{n-1}_m, (3^{m-1}-1)r^{n-1}_m/2)$ design. For each design in these families, a symmetric design with the corresponding parameters is known to exist. © 2002 Wiley Periodicals, Inc. J Combin Designs 10: 160–172, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/jcd.900