Assuming you have permissions, you just need to request the ALL_OBJECTS or DBA_OBJECTS , i.e.
SELECT object_name, object_type, last_ddl_time FROM dba_objects (or all_objects) WHERE owner = <<owner of table>> AND object_name = 'MY_TABLE'
ALL_OBJECTS contains information about all the objects for which you have privileges (i.e., tables for which you can at least select SELECT). DBA_OBJECTS contains information about all objects in the database, whether you have permission to access them or not. However, access to the DBA_OBJECTS requires additional privileges.
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