Each community college board of trustees is authorized to adopt rules governing admissions of students subject to this section and rules of the State Board of Education. These rules shall include the following:
     (2) Admission to associate degree programs is subject to minimum standards adopted by the State Board of Education and shall require:
     (a) A standard high school diploma, a high school equivalency diploma as prescribed in s. 1003.435, previously demonstrated competency in college credit postsecondary coursework, or, in the case of a student who is home educated, a signed affidavit submitted by the student's parent or legal guardian attesting that the student has completed a home education program pursuant to the requirements of s. 1002.41.