N.Y. Comp. Codes R. & Regs. tit. 9, § 7028.6 – Limitation of exercise.

(a) The exercise period of a prisoner may be denied, revoked, or limited when it is determined that such exercise period would cause a threat to the safety, security, or good order of the facility, or the safety, security, or health of the prisoner or other prisoners.
(b) Any determination to deny, revoke, or limit a prisoner's exercise period pursuant to this section shall be made by the chief administrative officer in writing, and shall state the specific facts and reasons underlying such determination. A copy of this determination shall be given to the prisoner.
(c) Each inmate shall be free from mechanical restraints during his or her exercise period, unless doing so would cause a threat to the safety, security, or good order of the facility, or the safety, security, or health of the inmate, staff, or other inmates. Any determination to mechanically restrain an inmate during his or her exercise period shall be made by the chief administrative officer in writing, shall state the restraints employed and the specific facts and reasons underlying such determination, and shall be maintained as part of the centralized record required by section 7075.6 of this Title.