Neb. Rev. Stat. § 71-640.03: Neb. Rev. Stat. § 71-640.03

(1) In any case in which paternity of a child is determined by a court of competent jurisdiction, the surname of the child may be entered on the record the same as the surname of the father.

(2) The surname of the child shall be the parents' prerogative, except that the department shall not accept a birth certificate with a child's surname that implies any obscene or objectionable words or abbreviations.