  For avoiding the exposure of plaintexts in cloud environments, some
homomorphic hashing algorithms have been proposed to generate the hash value of
each plaintext, and cloud environments only store the hash values and calculate
the hash values for future needs. However, longer hash value generation time
and longer hash value summary time may be required by these homomorphic hashing
algorithms with higher security strengths. Therefore, this study proposes a
homomorphic hashing based on elliptic curve cryptography (ECC) to provide a
homomorphic hashing function in accordance with the characteristics of ECC.
Furthermore, mathematical models and practical cases have been given to prove
the proposed method. In experiments, the results show that the proposed method
have higher efficiency with different security strengths.
