N.H. Rev. Stat. Ann. § 666:14

The attorney general may establish an administrative complaint procedure for the resolution of complaints of federal voting law violations, pursuant to the Help America Vote Act of 2002, Public Law 107-252. The attorney general may adopt administrative rules under RSA 541-A to implement the complaint resolution procedures. The ballot law commission is hereby designated as the body providing alternative dispute resolution as required by section 402(a)(2)(I) of the Help America Vote Act of 2002, Public Law 107-252.