Both groups are complaining about being discriminated against. The Asian group claimed that admission for them required higher grades and SAT scores than other students. Those representing the black students claim that the admissions tests are unfair to black students.
The problem, obviously, is that there are two often conflicting standards for fairness: admission by best performance or admission by proportional representation. NYC is still using a performance based system, while Harvard and many other elite colleges try to work a sort of compromise.
There seem to be legitimate arguments for each approach.