N.H. Rev. Stat. Ann. § 657:25

The secretary of state and all other appropriate officials or boards are hereby authorized to perform all acts which he or they may be authorized to perform by any federal statute affecting voting by those to whom the statute is applicable and to accept any federal funds which may be made available to defray any expense in connection therewith, insofar as the same may not be repugnant to the constitution of this state.