It's been a LOOOOOOONG time ago, but as I recall "my pappy" told me you can't filet a carp. It has bones hiding everywhere.
"Triple D" recently had a restaurant serving deep fried carp that had been scored at narrow intervals (as Bo2 said). Guy 'said' it was terrific, but we know he lies....sometimes.
A Croatian woman I know was very disappointed she couldn't find carp to make a traditional dish at Christmas time. I shoulda listened, but I didn't even Wanna know how she cooked it...just in case I looked remotely interested, ya know?!
I'm now spooked over tilapia after finding out the s*&% that THEY eat!! ...and I mean that literally.