When referencing information from the highest authority, there are several synonyms to use instead of "according to the highest authority." One option is to use "as per" or "per" followed by the name of the authority. For example, "Per the President's executive order, masks are now mandatory." Another phrase to use is "in accordance with" followed by the authoritative source. For instance, "In accordance with the Supreme Court's decision, the law must be implemented immediately." One could also use "based on recommendations from" when referring to guidance provided by an authoritative organization or expert. For example, "Based on recommendations from the CDC, social distancing is crucial to preventing the spread of COVID-19".