Dear Editor,
    We thank the reviewers for their valuable comments and suggestions. According to their comments, a revised version has been presented. Some main revisions are summarized as following.
1.Editor in Chief
The linguistic quality needs improvement. It is essential to make sure that  the manuscript reads smoothly- this definitely helps the reader fully appreciate your research findings. Consult a professional. Show all changes made to the revised manuscript.

It is important that  your study carefully refers to the most recent and highly relevant research results reported in the literature. Consider expanding  the list of references by adding more recent journal papers (published after 2011) including those published in INFORMATION SCIENCES. Provide full names of conferences, not only abbreviations.

We added more recent journal papers (published after 2011) including those published in INFORMATION SCIENCES.
We provided the full names of conferences.
2.Reviewer #1: In this paper, the authors proposed a generic computation outsourcing scheme for inverting homomorphic functions with computation disequilibrium. They used the intrinsic property of such functions to construct a concise and secure generic computation outsourcing scheme. There are no public key operations in the proposed scheme. This is an interesting work.

If the authors can gave more concrete examples, it would be better.

We added new concrete example for our scheme: decoding computations for error-correct coding .
3.Reviewer #2: This paper formally covers certain sort of outsourced computations, namely
those which concern the calculation of an unbalanced homomorphism (meaning that this homomorphic map is much less efficiently computable in one direction than in the other). If a client wants to delegate such a computation to an untrusted server, it requires security guarantees, namely verifiability (the client has to know whether the server did the correct computation) and privacy (the server does not learn any information on the input of the computation, nor on the result).
To solve this specific problem, the authors use the homomorphic property to randomly mask the input of the function to be computed, and to finally remove the additional part which hides the result.In the technical aspect, the paper is sound and the contribution is quite interesting.
editor evaluating revision
Reviewer #3: Computation Outsourcing is a hot topic in cloud computing. In this paper, the authors give a generic construction of outsourcing computation scheme for inverting a class of homomorphic functions with computation disequilibrium, and present formal security proofs to show that the scheme satisfies verifiability, input and output privacy in inf
ormation-theoretic sense. The construction takes the advantage of the intrinsic property of the computation task being outsourced, and no public key operations are used in the scheme, thus the proposed solution clearly outperforms the existing schemes in terms of efficiency. The authors also give an extensive analysis to show that many cryptographic computations fall into this category, and instantiate the generic construction with concrete examples, and the experimental result testifies the efficiency of the construction.

The result of this paper is interesting, and the formal security analysis is sound. With well presentation, the paper deserves publication in the journal.

Some typos:
-- p.20, Cryp- tology should be "Cryptology"
-- p.21, to appear in TCC 2012
-- page numbers missing in Ref.[9] and Ref.[25]

We corrected some typos and grammar mistakes in the original paper.

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