Yes, in addition to the financial penalty, a "name and shame" system has been put in place. This method consists of publicly naming companies with questionable practices in this area by publishing a list of the worst payers on the DGCCRF website.
These publicity measures could be reinforced within the framework of the PACTE law. Indeed, the text voted on at first reading in the National Assembly contained an amendment imposing on companies sentenced to an administrative fine to publish the decision, at their expense, in a journal of legal announcements.