The director of budget and management may:

(A) Perform accounting services for and design and implement accounting systems with state agencies;

(B) Provide other accounting services, including the maintenance and periodic auditing of the financial records of and submission of vouchers by state agencies, provision of assistance in the analysis of the financial position of state agencies, and preparation and submission of reports;

(C) Change any accounting code appearing in appropriations acts of the general assembly;

(D) Correct accounting errors committed by any state agency or state institution of higher education, including, but not limited to, the reestablishment of encumbrances cancelled in error.