Here is a link to the law that LB430 created, in addition LB817 came back in 2010 and Specifically spanked the Omaha Police Dept for continuing to force permit holders to register their handguns even though they could not.
http://www.nebraskalegislature.gov/laws/statutes.php?statute=18-170318-1703. Ownership, possession, and transportation of concealed handguns; power of cities and villages; existing ordinance, permit, or regulation; null and void.
Cities and villages shall not have the power to regulate the ownership, possession, or transportation of a concealed handgun, as such ownership, possession, or transportation is authorized under the Concealed Handgun Permit Act, except as expressly provided by state law, and shall not have the power to require registration of a concealed handgun owned, possessed, or transported by a permitholder under the act. Any existing city or village ordinance, permit, or regulation regulating the ownership, possession, or transportation of a concealed handgun, as such ownership, possession, or transportation is authorized under the act, except as expressly provided under state law, and any existing city or village ordinance, permit, or regulation requiring the registration of a concealed handgun owned, possessed, or transported by a permitholder under the act, is declared to be null and void as against any permitholder possessing a valid permit under the act.
Source
Laws 2009, LB430, ? 5;
Laws 2010, LB817, ? 2.
Effective Date: July 15, 2010