Sir,
Based on the photograph of the dial and case, that is not an Chopard L.U.C. watch i.e. with the recent L.U.C. movement.
It could be what was known simply as a 'Chopard Automatic' ref. 16/1223 with a Frederic Piguet Cal.1160 movement.
Officially, the case diameter is 35.4mm which is close to 36mm, as you say. The two variations are yellow or white gold cases.
Still a nice looking watch!
Regards, MTF