A new poll shows the public generally in favor of stricter gun laws in the wake of the Newtown, Conn., mass shooting, but opposing many specific measures, including a ban on assault weapons.

Fifty-eight percent say they back tightening gun control, up from 43 percent in October of 2011, according to a new poll from USA Today released Wednesday night.

Forty-seven percent say they back passing new gun laws, with 46 percent calling for tougher enforcement of existing restrictions. In October 2011, 60 percent favored enforcing existing laws to 35 percent who wanted new legislation.