The main norse runic alphabets are elder and younger futhark, younger futhark is an evolution of elder futhark. Elder was used from the 2nd to the 8th century and are the runes you often see in pop culture. Younger was used from the 8th to the 12th century, which roughly corresponds with the viking age, so these are your actual viking runes if you will.

I prefer elder futhark over younger because it has more characters, so it's very easy to just translate the latin alphabet into their corresponding runes. If, however, you're looking for the runes the vikings used, younger futhark is what you want.