There are 2 ways to accurately determine the Black Russian Terriers that have CHIC (Canine Health Information Center)numbers.  A  CHIC number will assure that the dog has been tested and the results are open for all viewers.  It does not differentiate between dogs that have passed those health checks and dogs which may have failed but whose results are still available for public viewing. 

The first is on the CHIC web site. 
CHIC Database for Black Russian  Terriers 

The second source for checking CHIC numbers (and everything else health related) is the OFA
OFA Black Russian Terrier Database