  Homomorphic encryption (HE) applied to a networked controller enables secure
operation, but in most cases it allows for addition and multiplication over
integers only, because of computation efficiency. Several related results deal
with such constraints by means of re-encrypted controller output, based on
which the controller can be re-constructed and operate over integers. This
paper presents two modified methods based on the output re-encryption, which
will further reduce the required communication effort and computational burden,
respectively.
