Did a quick search on google and found this chart.
Snowboard Sizing, Size Charts and Guides
I am still rather new to the snowboarding world. However, most of what i've read suggests that judging your board-size off your weight is more important then height. Therefor, if you weigh between 180-190 I would recommend 155-161. If you weigh between 190-200 I would rock a 157-163.