N.M. Stat. § 33-2-19
Convicts sentenced to the corrections department for life or any term for which they may be confined in a corrections facility by any court having jurisdiction to try causes under the laws of the United States, held within this state, shall be received into the corrections facility by the secretary of corrections or his designee when delivered by the authority of the United States and shall be kept in the corrections facility in pursuance of their sentences. All persons convicted of any crime where the punishment is imprisonment for a term of one year or more, after accounting for any period of the sentence being suspended or deferred and any credit for presentence confinement, shall be imprisoned in a corrections facility, unless otherwise provided by law, and judgments shall be issued accordingly. All persons convicted of any crime punishable with death who are pardoned on condition of being imprisoned, either for life or a term of years, or whose sentences are commuted for imprisonment for life or a term of years shall be so imprisoned in a corrections facility. All persons imprisoned or confined in a corrections facility shall be subject to its rules and regulations.
NMS § 33-2-19