Premier Premium Communications - Telliss ripoff Bedford New Hampshire

Received a bill for $375 from Premier Premium for calls to the same foreign phone number that others have reported, and immediately sent them an e-mail to their e-mail address that you find from going to their website, which is listed on their bill.

I indicated I never made any such calls and that I don't even have a long distance carrier, I use a pre-paid phone card to make occasional long distance calls. Someone named George responded and said that someone on my computer must have downloaded some "certified download" and agreed to use his service and that I must pay the bill or they will call in a collection service.
I responded that nobody in my household ever agreed to use his "service". Waiting to hear back. Planning to file complaint with FTC as well, although their complaint choices don't seem to include telephone fraud as a possible choice, so I guess I will use the "Home" option.

Has anybody heard anything from any government sources on how officially to handle a situation like this?

Gene
Edison, New Jersey
U.S.A.