N.M. Stat. § 14-11-11
All publications of proceedings of boards of county commissioners, city and town councils, boards of trustees, boards of education or school directors and of all other officers of any county, municipality, district or other subdivision of the state, which are required by law to be made shall be published once only. In all counties, cities or towns, in which the publication [population] is not less than seventy-five percent English speaking, the publication of such notices in English shall be sufficient; that in all counties, cities and towns, in which the population is not less than seventy-five percent Spanish speaking, the publication of such notices in the Spanish language shall be sufficient; that in all counties, cities and towns, in which the publication [population] using either language is between twenty-five percent and seventy-five percent of the whole, such notices shall be published in both English and Spanish, provided, there be legal newspapers published in both languages in the county, city or town, by different publishers, otherwise, publication in either language shall be sufficient. And, provided further, that in case of question, or disagreement, as to the percentage of the population of any county, city or town, using either language, the district judge of the judicial district of which such county, city or town, is a part, shall determine such percentage upon such information as he may have, without special investigation in the matter, and his opinion and determination thereon shall be conclusive.
NMS § 14-11-11