N.M. Stat. § 73-11-16
The cost of said improvement shall be specially assessed against the lands within such improvement district in proportion to the benefits accruing therefrom and shall be levied and collected in the manner provided for the assessments of construction costs.
All provisions contained in this chapter and Chapter 20, Session Laws of 1919, for the assessment, equalization, levy and collection of assessments for irrigation district purposes shall be applicable to assessment for local improvement, except that no election shall be required to authorize said improvement or the expenditure therefor. Assessments, when collected by the district treasurer for the payment of the improvement of any local improvement district and for the maintenance thereof, shall constitute special funds to be called "construction fund of local improvement district no. . . . ." and "operation and maintenance fund of local improvement district no....."
NMS § 73-11-16