A technique for constructing symmetric designs (Q1389151)

This important paper contains a new recursive construction method for symmetric designs which uses as ingredients balanced generalized weighing matrices and (the incidence matrices of) smaller symmetric designs. As an application of his general theory, the author obtains four infinite families of symmetric designs, three of which are entirely new whereas the last one generalizes a construction given by the reviewer in a joint paper with \textit{A. Pott} [``A new class of symmetric \((v,k,\lambda)\)-designs'', Des. Codes Cryptography 4, No. 4, 319-325 (1994; Zbl 0806.05013)].