KV Web Security: Applications of Homomorphic Encryption
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On the CCA-1 Security of Somewhat Homomorphic Encryption over the Integers
The notion of fully homomorphic encryption is very important since it enables many important applications, such as the cloud computing scenario. In EUROCRYPT 2010, van Dijk, Gentry, Halevi and Vaikuntanathan proposed an interesting fully homomorphic encryption scheme based on a somewhat homomorphic encryption scheme using integers. In this paper, we demonstrate a very practical CCA-1 attack aga...
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Homomorphic encryption enables computations on encrypted data. This property makes such encryption schemes useful in a wide variety of privacy preserving applications. This paper provides a brief survey on the homomorphic encryption. We describe the homomorphic cryptosystems from partially homomorphic encryption to fully homomorphic encryption. We also give some security analysis and describe h...
متن کاملOn CCA-Secure Somewhat Homomorphic Encryption
It is well known that any encryption scheme which supports any form of homomorphic operation cannot be secure against adaptive chosen ciphertext attacks. The question then arises as to what is the most stringent security definition which is achievable by homomorphic encryption schemes. Prior work has shown that various schemes which support a single homomorphic encryption scheme can be shown to...
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As an effective solution to protect the privacy of the data, homomorphic encryption has become a hot research topic. Existing homomorphic schemes are not truly practical due to their high computational complexity and huge key size. In 2013, Coron et al. proposed a batch homomorphic encryption scheme, i.e. a scheme that supports encrypting and homomorphically evaluating several plaintext bits as...
متن کاملPractical Applications of Homomorphic Encryption
Homomorphic cryptography has been one of the most interesting topics of mathematics and computer security since Gentry presented the first construction of a fully homomorphic encryption (FHE) scheme in 2009. Since then, a number of different schemes have been found, that follow the approach of bootstrapping a fully homomorphic scheme from a somewhat homomorphic foundation. All existing implemen...
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