The company's official name is "Azure Ronin". For the web related stuff we go by "Azure Ronin Web Design" and for the programming we go by "Azure Ronin Software". We'll also be expanding into other areas as well.
We are just looking for the core logo "Azure Ronin", but it needs to be in a way that there is room that makes logical sense to add the different areas like "Web Design" and "Software". You can design it with or without one or more of these.
Since the name has "Azure", one of the colors is obviously azure, which is #007FFF. It's kind of a rich sky blue. We are in the process of redoing our website and our branding, so we don't really have any other colors defined. I'd probably like to see some black in it, and probably one other color as well.
Try to keep the design simple without oversimplifying. We will be using this logo for more than just the web. If you want, you can submit the full logo and then a more matte version to use in print.
As for symbols we don't have many in mind, but something really important to ronin is their sword, so that could be a good symbol. Another possible symbol could be something that represents our multitude of interactive multimedia that we can provide.