I'm from the the former USSR and there racism was punishable by government. If some type of an advantage was publicly given by an institution based on class/race/etc the director of that institution would be imprisoned.
The Soviet Union practiced racial assimilation, meaning a group of peopl from race A woul be moved and made to live with a group of peopl of race B, that way racism would lessen.
In merit to such government policies everyone was treated equally simply because if a person was held back due tosome factor that should be unrelated to weighing the person's worth, that person could easily write a report on the people who are weighing his worth, those people would be taken care of by the government.
Also, in USSR, not sure about other communist countries, education was mandatory, children were made to go to school and each school had the same quality education, except for specialized schools which would pick out students from all over the country based on their intelligence. Since education was open to everyone and everyone had to graduate from school, higher education institutions would not take race into consideration since everyone was given the same chance to succeed in life.
So to answer your question, no, there would be no need for AA in a communist country because of governmental policy of equality.