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A method of constructing non-redundant apertures (NRAs) for optical interferometric systems which is based on using cyclic di erence sets is suggested, and with it a maximization of the number of NRA elements on square and hexagonal grids of given sizes is performed. Also, tables of elements of NRAs thus obtained are presented.

The problem of synthesizing the optimized equi-amplitude array antenna (AA) on the 8 8 × grid based on a Hadamard difference set is considered. By using newly found sets of this type on the 8 8 × grid the 28-and 36-element AAs having a low sidelobe level are obtained.A numerical experiment showed that by a small alteration of the structure of such a set, further reduction of the AA sidelobe radiation is possible.