Server Administration :: Privileges For DROP Partition

I have one user CD_APP. I have one partition table CD.T_FCDR_DT. User has got ALTER/INSERT/UPDATE/DELETE/SELECT privileges on the table..

Now when I try to drop a partition, I get error as below:
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SQL> show user
USER is "CD_APP"
SQL> ALTER TABLE CD.T_FCDR_DT DROP PARTITION D01 UPDATE GLOBAL INDEXES;
ALTER TABLE CD.T_FCDR_DT DROP PARTITION D01 UPDATE GLOBAL INDEXES
*
ERROR at line 1:
ORA-01031: insufficient privileges
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Do I have to grant some other privileges for this user.