Wouldnt know because i disable the copypaste shortcuts the minute i start using maya. Basicaly because the way maya does copypaste is NOT a good solution for your workflow. The duplicate method is better.
Basicaly what maya does whan you hit ctrl-c is saves out the shard you have selected as a file using file -> export. Then whan you hit ctrl-v you get the same thing imported, now if you did this manualy yourself you could diasable the auto rename + youd also save the shard for later use bringing it back many times. So the Dirk Bialluch script is exactly the same mechanism as the one built into maya, the file goes to your temp folder.
Also if you work within the same document you chould never use ctrl-c +ctrl-v to duplicate something you should prefeer to use "ctrl+d" or "D" instead. Not only is it faster, its also cleaner, and has much nicer options to it. Its like comparing a rubberstamp to a label printer.
But yeah you can change the naming if you must, but as i described its taking the loong way around (its about 100 times slower than duplicate too by the way). The only time i use copypaste if i must migrate 2 things between different scenes or sessions. Or work with curves.
the naming is defined in ../scripts/startup/cutCopyPaste.mel
Anyway try to learn to use the big D its more usefull. like this small demo on how to make a arbitrary rotated array demonstrates, im intentionaly taking the long way to do the clenup but hey its a demonstration of what keyboard shortcuts i use mostly, so pay attention to the text in the bottom middle of the viewport as it shows all buttons i press.
ArbitraryRotatedArray.mov
Note teht my settings for ctrl+d were set to retain offset, wich is the same as pressing shift+d but in general i want to isntance stuff too so i have a bit overemphasized ctrl+d into my brain.