Who administers direct democracy mechanisms at the national level?

Law of the Independent High Electoral Commission http://www.ihec-iq.com/ftpar/english-page/laws/ihec-law.pdf

Art 2. The Independent High Electoral Commission is a professional, governmental, independent, neutral and autonomous body, subject to the supervision of the Council of Representatives, and shall have the authority to:

1.Promulgate rules and adopted principles for federal, regional and local elections and referenda throughout Iraq to ensure their implementation in a just and transparent manner.

2.Oversee all various federal and regional elections and referenda, and in provinces that are not organized into a region.

3.Declare, organize and conduct all various federal and local elections and referenda in the provinces that are not organized into a region referred to in the Constitution, throughout Iraq.[…]