D‐optimal designs and group divisible designs

descriptionPublicationkeyboard_double_arrow_right Article 15 Feb 2006 English Publisher:WileyJournal:Journal of Combinatorial Designs, volume 14, pages 451-462 (issn: 1063-8539, eissn: 1520-6610,

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Authors: Hiroki Tamura;

doi: 10.1002/jcd.20103

D‐optimal designs and group divisible designs

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Abstract

AbstractWe obtain new conditions on the existence of a square matrix whose Gram matrix has a block structure with certain properties, including D‐optimal designs of order $n\equiv 3 \pmod 4$, and investigate relations to group divisible designs. We also find a matrix with large determinant for n = 39. © 2006 Wiley Periodicals, Inc. J Combin Designs 14: 451–462, 2006

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Tohoku University
Japan

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