A. Timing Of Prosecution's Discovery. The defense may be well advised to seek an order compelling the government to identify and "designate in its discovery production all 'Brady' material."Maryland and its progeny, prosecutors have a constitu- tional obligation to disclose any material evidence that may be favorable. Further Notices and Demands may be served within 30 after the FINAL deposition. 6. A Brady motion is a defendant's request that the prosecution in a California criminal case turns over any potentially "exculpatory" evidence. § 1983 Brady Claims Against Police Officers. The government's Brady obligations extend to favorable material in the possession of the police. The Brady rule, named after Brady v. Maryland, requires prosecutors to disclose material, exculpatory information in the government's possession to the defense.