The general administration and the responsibility for the proper operation of the retirement system and for making effective the provisions of chapters 8 — 10 of this title are hereby vested in a retirement board. The retirement board shall, from time to time, establish rules and regulations for the administration and transaction of the business of the retirement system. Rules and regulations which have been or may be established pursuant to the provisions of this chapter shall be compiled, codified, and published so that they shall be generally available to the members of the system. The retirement board shall also perform such other functions as are required for the execution of chapters 8 — 10 of this title. The board shall also establish rules and regulations to govern the provisions of §§ 8-3-16, 8-3-17, 8-8-10.1, 8-8-10.2, 8-8.2-7, 8-8.2-8, 28-30-18.1, 28-30-18.2, 42-28-22.1, and 42-28-22.2.