Geodesic
Parallel Class Intersection Matrices of Orthogonal Resolutions
Serdica Journal of Computing, Tome 2 (2008) no. 4, pp. 321-330.

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Parallel class intersection matrices (PCIMs) have been defined and used in [6], [14], [15] for the classification of resolvable designs with several parameter sets. Resolutions which have orthogonal resolutions (RORs) have been classified in [19] for designs with some small parameters. The present paper deals with the additional restrictions that the existence of an orthogonal mate might impose on the PCIMs of a resolution, and with the effect of both PCIMs usage and the methods for RORs construction described in [19] and [20]. It is shown in several examples how consideration of PCIMs can result in constructing only of solutions which can have orthogonal mates, and thus substantially improve the computation time. There are parameters for which PCIMs make the classification of RORs possible, and also cases when PCIMs directly prove the nonexistence of doubly resolvable designs with certain parameters.
Keywords: Classification, Resolvable Design, Orthogonal Resolution 
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     author = {Zhelezova, Stela},
     title = {Parallel {Class} {Intersection} {Matrices} of {Orthogonal} {Resolutions}},
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Zhelezova, Stela. Parallel Class Intersection Matrices of Orthogonal Resolutions. Serdica Journal of Computing, Tome 2 (2008) no. 4, pp. 321-330. http://geodesic.mathdoc.fr/item/SJC_2008_2_4_a1/