§1. Dispensation from all irregularities is reserved to the Apostolic See alone if the fact on which they are based has been brought to the judicial forum.
§2. Dispensation from the following irregularities and impediments to receive orders is also reserved to the Apostolic See: 1/ irregularities from the public delicts mentioned in can. 1041, nn. 2 and 3; 2/ the irregularity from the delict mentioned in can. 1041, n. 4, whether public or occult; 3/ the impediment mentioned in can. 1042, n. 1.
§3. Dispensation in public cases from the irregularities from exercising an order received mentioned in can. 1041, n. 3, and even in occult cases from the irregularities mentioned in can. 1041, n. 4 is also reserved to the Apostolic See.
§4. An ordinary is able to dispense from irregularities and impediments not reserved to the Holy See.
Source: Code of Canon Law (Vatican.va)