Check here:
http://www.abc-of-Snowboarding.com/buying-guide/buyingsnowboards.asp
It says a good size for your height, weight, and shoe size.
-Short board should reach somewhere between your collar bones and chin. Shorter boards are easier to maneuver, great to be trained on, and often preferred by riders who do a lot of Snowboarding Tricks, park and Pipe Riding.
-Medium length should come up between your chin and eyebrows. This length is preferred by all around intermediate to advanced riders who ride a variety of terrain, including parks and steeps.
-Long boards should go from your forehead to several inches over the top of your head. Long boards are used for high-speed carving, deep powder snow surface, and big mountain terrain.
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As a rule of thumb, stand your snowboard up and place one of the ends on the ground. The other end of the board should be roughly where your chin is at.
Many snowboard manufacturers also produce charts that allow to you to pick a board for your specific height and weight.
It should be technically be in between your chin and nose when standing up. Some park guys use smaller boards and mountain guys use longer ones. It's all personal preference but the chin and nose rule is a good guideline.
measure from the floor to your chin in centimeters, that's the lenght for your board, if your overweight, it needs to be longer
A boot should NOT hang over the snowboard!!! I would say maybe at the most 1 in.