Techniques are provided for fuse/anti-fuse structures, including an inner conductor structure, an insulating layer spaced outwardly of the inner conductor structure, an outer conductor structure disposed outwardly of the insulating layer, and a cavity-defining structure that defines a cavity, with at least a portion of the cavity-defining structure being formed from at least one of the inner conductor structure, the insulating layer, and the outer conductor structure. Methods of making and programming the fuse/anti-fuse structures are also provided.