The DB link mechanism goes through TNS, so just define a TNS entry for your local database and use that in your link.
Your client TNSNAMES.ORA files should contain an entry that looks something like:
YourDBAlias =
(DESCRIPTION =
(ADDRESS_LIST =
(ADDRESS = (PROTOCOL = TCP)(HOST = yourHOST)(PORT = 1521))
)
(CONNECT_DATA =
(SERVICE_NAME = YourDB)
)
)
Make sure this entry also exists in the TNSNAMES.ORA file on your database server.
Then, create the database link as:
CREATE [PUBLIC] DATABASE LINK yourLinkName
CONNECT TO theSchema IDENTIFIED BY thePW
USING 'YourDBAlias';
This should do the trick (assuming you're using TNS naming).
Additionally, if you're not sure what your TNS Name is for the database, in SQL*Plus you can issue the command:
show parameter service_names
This will show you the name(s) that the database is registered with it's listener as. You should be able to find the corresponding entry in the TNSNAMES.ORA file from that.