WASHINGTON—A secret surveillance court issued a rare public order on Tuesday rebuking the Federal Bureau of Investigation for its handling of applications to wiretap Carter Page, a one-time Trump campaign foreign-policy adviser whose monitoring by the government has become the subject of significant public controversy.

Judge Rosemary Collyer, the presiding judge of the Foreign Intelligence Surveillance Court, called the FBI’s actions“antithetical to the heightened duty of candor” owed to the court by government agents.

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