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Calabro and Wolf (1968, Inform. Contr. 11) investigate the autocorrelation properties of certain periodic two-dimensional arrays. This note points out a relationship between periodic p × q-arrays with two-level antocorrelation and difference sets in the group C(p) × C(q), where C(n) denote the cyclic group of order n. This observation enables us to construct severat families of such arrays, some of which are perfect.doi:10.1016/s0019-9958(79)90617-x fatcat:7remowt43jaqhb5z53ahiqwyn4