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Not AvailableRow-column designs (RCD) are used in experimental situations when the heterogeneity in the experimental material is due to two cross classified sources. In such trials, there may be situations in which the experimenter wants to compare a set of new (test) treatments with an already existing (control) treatment. The experimenter is interested in comparing test treatments with the control with more precision and hence it is unrealistic to replicate the test treatments the same number of times as that of the control. Designs used for such experiments are known as balanced treatment-control row-column (BTRC) designs. With more number of treatments, one may have to conduct the experiment in incomplete rows/columns. In this study, some general methods of constructing BTRC designs in complete/incomplete rows/columns have been developed. Also, a class of BTRC designs with empty nodes has been constructed.Not Availabl