The secretary of social services may adopt reasonable and necessary rules for the administration and operation of the programs authorized by §§ 28-1-46 to 28-1-49, inclusive. Such rules may include the following areas:
(1) Eligibility criteria;
(2) Levels of payment;
(3) Administration, audit requirements, and record keeping; and
(4) Such other standards and requirements as may be necessary for federal financial participation.