A method for addressing data in a cache unit which has a plurality of congruence classes, following a failure which disables one or more of the congruence classes in the cache unit. A plurality of synonym classes are established. A subset of the congruence classes is assigned to each of the synonym classes. Any disabled congruence classes are identified. The synonym class to which the disabled congruence class belongs is identified. An alternate congruence class is selected which belongs to the same synonym class as the disabled congruence class. When a request is received by the cache to store a line of data into the disabled congruence class, the line is stored into the alternate congruence class in response to the request.