Re: Accessing 1842 Hungarian Bereg Census records #hungary
There is a Sub-Carpatian region (that Bereg megye was part of it) genealogy site. This is probably the most complete Sub-Carpatian Jewish data base and they have good search tools too:
There is also a Hungarian-Jewish family search group on Facebook called: Zsidó Múlt -> Családkutatás
You can post your question on that group.
Hopefully it helps.