Binary sequences and arrays with low sidelobes in their periodic autoc
orrelation function are required e.g. in communication engineering, in
Radar or in coded aperture imaging. It is demonstrated that in many c
ases sequences and arrays with better correlation properties can be co
nstructed by using the odd-autocorrelation. Especially the synthesis o
f odd-perfect, near-binary sequences and arrays is possible up to arbi
trary sizes.