Hall, Joanne2015-12-071097-1440http://hdl.handle.net/1885/27442The search for codes of covering radius 1 led Östergård, Quistorff and Wassermann to the OQW method of associating a unique graph to each code [9]. We present results on the structure and existence of OQW-associated graphs. These are used to find an upp20082015-12-07