A federal judge in Brooklyn has told the city to prepare for a court hearing regarding the prevalence of lying by New York City police officers and whether the New York Police Department has done too little to discipline officers who testify falsely.

For years, federal judges in New York City have been issuing rulings in individual criminal cases casting doubt on the credibility of some police testimony. But the opinion issued on Tuesday by Judge Jack B. Weinstein of Federal District Court in Brooklyn may signal a broader judicial inquiry into police perjury.

In his lawsuit against the police, Mr. Cordero accused the officers of arresting him because they wanted to make the overtime pay that ensued from an arrest near the end of their shift.