In a french accent it's more like "Cuck", that's how I say it in my head. Luckily, I don't have to say it out loud.

I believe it's /ɔ/ in French but usually /ɑ/ in English.

Of course, cock is an English word for rooster.

Does coq have the same connotation in French, though?

Not at all, but I was told that the pun was totally intentional [citation needed].

Is the filename of "coqasm.pdf" also trying to get at something?