402.15—Collateral estoppel.
        
        (a) 
         When a final determination that the respondent presented or caused to  be presented a claim or request for payment falling within the scope of  § 402.1 has been rendered in any proceeding in which the respondent was a party and had an opportunity to be heard, the respondent is bound by that determination in any proceeding under this part.
    
    
        
        (b) 
         A person who has been convicted (whether upon a verdict after trial or upon a plea of guilty or nolo contendere) of a Federal crime charging fraud or false statements is barred from denying the essential elements of the criminal offense if the proceedings under this part involve the same transactions.