Fla. Stat. § 742.09

Except for the purpose of serving process by publication, as provided under s. 49.011(15), it shall be unlawful for the owner, publisher, manager, or operator of any newspaper, magazine, radio station, or other publication of any kind whatsoever, or any other person responsible therefor, or any radio broadcaster, to publish the name of any of the parties to any court proceeding to determine paternity. A person who violates this section commits a misdemeanor of the first degree, punishable as provided in s. 775.082 or s. 775.083.