It is Illegal to Carry on School Grounds, and this includes Colleges and Universities, in Nebraska, under Nebraska Law 28-1204.04, unless; you have a Concealed Weapons Permit and are in your own Motor Vehicle, per 28-1204.04(f).
This Law mirrors Federal Law, less the 1000 foot rule, per 18 U.S.C. 922(q).
Nebraska Code 28-1201(8) defines School to include Colleges and Universities, and pretty much every other type of School that one would associate as being a School.
Apparently, due to there being no Law codified against it [Open Carry], Nebraska allows Firearms to be Carried into: Airports, Bars, Churches, Entertainment Events, Sporting Events, Political Events, and Public Buildings.
Furthermore, one may Open Carry into any Restaurant that serves Alcohol, and one may Open Carry into any Local, County, or State Park, or WMA, provided; the last item is not posted, as this regulation stems from Hunting Laws.
Local Governments can generally prevent and punish those who Carry Concealed Firearms, as this is Law per Nebraska Statute 28-1202.
Otherwise, Nebraska basically follows Federal Law when it comes to Firearms.
As a rule of thumb:
1. Open Carry is allowed almost anywhere in Nebraska, except Schools, per Nebraska Code 28-1204.04. (As is enumerated under Paragraph 1).
2. Concealed Carry in Nebraska is Illegal per Nebraska Statute 28-1202, unless you have a Concealed Carry Permit from Nebraska, or its equivalent, and even then, Concealed Carry is only Lawful with a Handgun, nothing more.
***The places that are off-limitsin Nebraska for Concealed Carry are far more numerous than those for Open Carry. Basically, when you arrive at a place where Nebraska does not allow Concealed Carry, even for those Persons with a Concealed Handgun Permit..., say Banks..., you MUST Open Carry while there. However, having a Concealed Handgun Permit doeshave some advantages, such as being exempt from Local Handgun Registration Schemes, and the like.***
***There seems to be no regulation for Firearms in Motor Vehicles, except Concealed Firearms under Nebraska Code 28-1202, so it appears Open Carry without a Permit isLegal in a Motor Vehicle as long asthe Firearm is plainly visible. However, from what I understand, although I do not know the Code Section of Nebraska Law that says it, Long Guns may be regulated in this area more stringently as it pertains to Hunting Laws.***