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I wish this article wouldn't make silly statements like:

--- Homomorphic encryption is one of the most exciting new research topics in cryptography, which promises to make cloud computing perfectly secure. ---

No, it won't. It just has the property that you can perform some operations on the ciphertext to produce a different, still valid, ciphertext.

Don't forget that when decrypted the result must match the operation performed on the corresponding plaintexts.