For those of you that like a step-by-step approach, I've optimized Thraxis' Chart down to 102 total guesses (the original Thraxis has 108), using AAB (instead of BBB) when AAA=2. For this method, you don't really need a chart: it's the easiest style to do in your head and still leave you free to chat. This is just an illustration of the method. If you want to solve the codes the fastest possible, use Madison's, Hermione's, or Jandrea's chart.
Thraxis' Chart optimized by Madison
Here's a link to Twiddler's page which has links to Hermione's Chart and Jandrea's Chart, as well as some others.